57625 has 8 divisors (see below), whose sum is σ = 72072. Its totient is φ = 46000.

The previous prime is 57601. The next prime is 57637. The reversal of 57625 is 52675.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 52441 = 72^2 + 229^2 .

It is not a de Polignac number, because 57625 - 2⁵ = 57593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

57625 is a lucky number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 57625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁵⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

57625 is a deficient number, since it is larger than the sum of its proper divisors (14447).

57625 is an equidigital number, since it uses as much as digits as its factorization.

57625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 57625 is about 240.0520776832. The cubic root of 57625 is about 38.6251618989.

Subtracting from 57625 its sum of digits (25), we obtain a square (57600 = 240²).

Subtracting from 57625 its reverse (52675), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 576 and 25, that multiplied together give a square (14400 = 120²).

The spelling of 57625 in words is "fifty-seven thousand, six hundred twenty-five".