57977972 has 48 divisors (see below), whose sum is σ = 112931280. Its totient is φ = 25878528.

The previous prime is 57977971. The next prime is 57978013. The reversal of 57977972 is 27977975.

It can be written as a sum of positive squares in 8 ways, for example, as 763876 + 57214096 = 874^2 + 7564^2 .

It is a super-3 number, since 3×57977972³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57977971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300308 + ... + 300500.

It is an arithmetic number, because the mean of its divisors is an integer number (2352735).

Almost surely, 2^57977972 is an apocalyptic number.

57977972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

57977972 is a deficient number, since it is larger than the sum of its proper divisors (54953308).

57977972 is a wasteful number, since it uses less digits than its factorization.

57977972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 1944810, while the sum is 53.

The square root of 57977972 is about 7614.3267594713. The cubic root of 57977972 is about 387.0386534492.

The spelling of 57977972 in words is "fifty-seven million, nine hundred seventy-seven thousand, nine hundred seventy-two".