57319000 has 96 divisors (see below), whose sum is σ = 141747840. Its totient is φ = 21672000.

The previous prime is 57318997. The next prime is 57319007. The reversal of 57319000 is 91375.

It is a super-2 number, since 2×57319000² = 6570935522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57319007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332979 + ... + 1333021.

It is an arithmetic number, because the mean of its divisors is an integer number (1476540).

Almost surely, 2^57319000 is an apocalyptic number.

57319000 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 57319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70873920).

57319000 is an abundant number, since it is smaller than the sum of its proper divisors (84428840).

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

57319000 is a wasteful number, since it uses less digits than its factorization.

57319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 57319000 is about 7570.9312505134. The cubic root of 57319000 is about 385.5667147282.

The spelling of 57319000 in words is "fifty-seven million, three hundred nineteen thousand".