57125 has 8 divisors (see below), whose sum is σ = 71448. Its totient is φ = 45600.

The previous prime is 57119. The next prime is 57131. The reversal of 57125 is 52175.

It is an interprime number because it is at equal distance from previous prime (57119) and next prime (57131).

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 57121 = 2^2 + 239^2 .

It is not a de Polignac number, because 57125 - 2¹⁰ = 56101 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57097 and 57106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (8931).

2⁵⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

57125 is a deficient number, since it is larger than the sum of its proper divisors (14323).

57125 is an equidigital number, since it uses as much as digits as its factorization.

57125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 57125 is about 239.0083680543. The cubic root of 57125 is about 38.5131230914.

Adding to 57125 its product of digits (350), we get a palindrome (57475).

Subtracting from 57125 its reverse (52175), we obtain a triangular number (4950 = T₉₉).

The spelling of 57125 in words is "fifty-seven thousand, one hundred twenty-five".