57397100 has 72 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 20459520.

The previous prime is 57397099. The next prime is 57397127. The reversal of 57397100 is 179375.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31412 + ... + 33188.

It is an arithmetic number, because the mean of its divisors is an integer number (1929130).

Almost surely, 2^57397100 is an apocalyptic number.

57397100 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 57397100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

57397100 is an abundant number, since it is smaller than the sum of its proper divisors (81500260).

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

57397100 is a wasteful number, since it uses less digits than its factorization.

57397100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 32.

The square root of 57397100 is about 7576.0873806999. The cubic root of 57397100 is about 385.7417532206.

The spelling of 57397100 in words is "fifty-seven million, three hundred ninety-seven thousand, one hundred".