1503 has 6 divisors (see below), whose sum is σ = 2184. Its totient is φ = 996.

The previous prime is 1499. The next prime is 1511. The reversal of 1503 is 3051.

1503 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 1503 - 2^{2} = 1499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 167 = 1503 / (1 + 5 + 0 + 3).

1503 is an undulating number in base 13.

1503 is a lucky number.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

1503 is a Friedman number, since it can be written as 501*3, using all its digits and the basic arithmetic operations.

2^{1503} is an apocalyptic number.

1503 is a deficient number, since it is larger than the sum of its proper divisors (681).

1503 is a wasteful number, since it uses less digits than its factorization.

1503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1503 is about 38.7685439500. The cubic root of 1503 is about 11.4547687718.

Adding to 1503 its reverse (3051), we get a palindrome (4554).

It can be divided in two parts, 150 and 3, that added together give a triangular number (153 = T_{17}).

The spelling of 1503 in words is "one thousand, five hundred three".

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