57603 has 16 divisors (see below), whose sum is σ = 94976. Its totient is φ = 30240.

The previous prime is 57601. The next prime is 57637. The reversal of 57603 is 30675.

It is not a de Polignac number, because 57603 - 2¹ = 57601 is a prime.

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

57603 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 57603.

It is not an unprimeable number, because it can be changed into a prime (57601) 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, 168 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (5936).

2⁵⁷⁶⁰³ is an apocalyptic number.

57603 is a deficient number, since it is larger than the sum of its proper divisors (37373).

57603 is a wasteful number, since it uses less digits than its factorization.

57603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 57603 is about 240.0062499186. The cubic root of 57603 is about 38.6202458513.

The spelling of 57603 in words is "fifty-seven thousand, six hundred three".