57970 has 32 divisors (see below), whose sum is σ = 124416. Its totient is φ = 19200.

The previous prime is 57947. The next prime is 57973. The reversal of 57970 is 7975.

57970 = T₄₅ + T₄₆ + ... + T₇₅.

57970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

57970 is a nontrivial binomial coefficient, being equal to C(341, 2).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (57973) by changing a digit.

57970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855 + ... + 1885.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2⁵⁷⁹⁷⁰ is an apocalyptic number.

57970 is the 340-th triangular number.

57970 is the 114-th centered nonagonal number.

57970 is an abundant number, since it is smaller than the sum of its proper divisors (66446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208).

57970 is a wasteful number, since it uses less digits than its factorization.

57970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 57970 is about 240.7695994099. The cubic root of 57970 is about 38.7020913300.

The spelling of 57970 in words is "fifty-seven thousand, nine hundred seventy".