57075 has 12 divisors (see below), whose sum is σ = 94488. Its totient is φ = 30400.

The previous prime is 57073. The next prime is 57077.

57075 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57073) and next prime (57077).

It is not a de Polignac number, because 57075 - 2¹ = 57073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2⁵⁷⁰⁷⁵ is an apocalyptic number.

57075 is a deficient number, since it is larger than the sum of its proper divisors (37413).

57075 is a wasteful number, since it uses less digits than its factorization.

With its successor (57076) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (774).

57075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 57075 is about 238.9037463080. The cubic root of 57075 is about 38.5018833059.

The spelling of 57075 in words is "fifty-seven thousand, seventy-five".