57684025 has 45 divisors (see below), whose sum is σ = 86223183. Its totient is φ = 38278800.

The previous prime is 57683939. The next prime is 57684037. The reversal of 57684025 is 52048675.

It is a happy number.

The square root of 57684025 is 7595.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20766249 + 36917776 = 4557^2 + 6076^2 .

It is not a de Polignac number, because 57684025 - 2⁷ = 57683897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1860760 + ... + 1860790.

Almost surely, 2^57684025 is an apocalyptic number.

57684025 is the 7595-th square number.

57684025 is the 3798-th centered octagonal number.

It is an amenable number.

57684025 is a deficient number, since it is larger than the sum of its proper divisors (28539158).

57684025 is an frugal number, since it uses more digits than its factorization.

57684025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The cubic root of 57684025 is about 386.3834525225.

The spelling of 57684025 in words is "fifty-seven million, six hundred eighty-four thousand, twenty-five".