57357000 has 96 divisors (see below), whose sum is σ = 193897080. Its totient is φ = 15292800.

The previous prime is 57356989. The next prime is 57357007. The reversal of 57357000 is 75375.

57357000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26687556 + 30669444 = 5166^2 + 5538^2 .

It is not an unprimeable number, because it can be changed into a prime (57357007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5814 + ... + 12186.

Almost surely, 2^57357000 is an apocalyptic number.

57357000 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 57357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96948540).

57357000 is an abundant number, since it is smaller than the sum of its proper divisors (136540080).

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

57357000 is a wasteful number, since it uses less digits than its factorization.

57357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 57357000 is about 7573.4404335150. The cubic root of 57357000 is about 385.6519005512.

The spelling of 57357000 in words is "fifty-seven million, three hundred fifty-seven thousand".