57965000 has 40 divisors (see below), whose sum is σ = 135823710. Its totient is φ = 23184000.

The previous prime is 57964999. The next prime is 57965099. The reversal of 57965000 is 56975.

It can be written as a sum of positive squares in 5 ways, for example, as 8375236 + 49589764 = 2894^2 + 7042^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 797 + ... + 10796.

Almost surely, 2^57965000 is an apocalyptic number.

57965000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67911855).

57965000 is an abundant number, since it is smaller than the sum of its proper divisors (77858710).

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

57965000 is a wasteful number, since it uses less digits than its factorization.

57965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11619 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 57965000 is about 7613.4748965239. The cubic root of 57965000 is about 387.0097859344.

The spelling of 57965000 in words is "fifty-seven million, nine hundred sixty-five thousand".