57199000 has 64 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 22374400.

The previous prime is 57198979. The next prime is 57199069. The reversal of 57199000 is 99175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46392 + ... + 47608.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2^57199000 is an apocalyptic number.

57199000 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 57199000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

57199000 is an abundant number, since it is smaller than the sum of its proper divisors (79606760).

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

57199000 is a wasteful number, since it uses less digits than its factorization.

57199000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 57199000 is about 7563.0020494510. The cubic root of 57199000 is about 385.2974594408.

Subtracting from 57199000 its sum of digits (31), we obtain a square (57198969 = 7563²).

The spelling of 57199000 in words is "fifty-seven million, one hundred ninety-nine thousand".