57825 has 18 divisors (see below), whose sum is σ = 103974. Its totient is φ = 30720.

The previous prime is 57809. The next prime is 57829. The reversal of 57825 is 52875.

It is a happy number.

57825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 40401 = 132^2 + 201^2 .

It is not a de Polignac number, because 57825 - 2⁴ = 57809 is a prime.

It is an Ulam number.

57825 is an undulating number in base 16.

57825 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97 + ... + 353.

2⁵⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

57825 is a deficient number, since it is larger than the sum of its proper divisors (46149).

57825 is a wasteful number, since it uses less digits than its factorization.

57825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 57825 is about 240.4682931282. The cubic root of 57825 is about 38.6697959550.

Subtracting from 57825 its reverse (52875), we obtain a triangular number (4950 = T₉₉).

The spelling of 57825 in words is "fifty-seven thousand, eight hundred twenty-five".