7503 has 8 divisors (see below), whose sum is σ = 10416. Its totient is φ = 4800.

The previous prime is 7499. The next prime is 7507. The reversal of 7503 is 3057.

7503 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

7503 is a nontrivial binomial coefficient, being equal to C(123, 2).

It is an interprime number because it is at equal distance from previous prime (7499) and next prime (7507).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7503 - 2² = 7499 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

7503 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2⁷⁵⁰³ is an apocalyptic number.

7503 is the 122-nd triangular number.

7503 is a deficient number, since it is larger than the sum of its proper divisors (2913).

7503 is a wasteful number, since it uses less digits than its factorization.

7503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 7503 is about 86.6198591548. The cubic root of 7503 is about 19.5769477697.

The spelling of 7503 in words is "seven thousand, five hundred three".