803523 has 16 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 452640.

The previous prime is 803519. The next prime is 803549. The reversal of 803523 is 325308.

It is not a de Polignac number, because 803523 - 2² = 803519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 803523.

It is not an unprimeable number, because it can be changed into a prime (803513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2⁸⁰³⁵²³ is an apocalyptic number.

803523 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

803523 is a deficient number, since it is larger than the sum of its proper divisors (438333).

803523 is a wasteful number, since it uses less digits than its factorization.

803523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 803523 is about 896.3944444272. The cubic root of 803523 is about 92.9678464404.

It can be divided in two parts, 803 and 523, that added together give a triangular number (1326 = T₅₁).

The spelling of 803523 in words is "eight hundred three thousand, five hundred twenty-three".