57311334 has 64 divisors (see below), whose sum is σ = 135878400. Its totient is φ = 17853696.

The previous prime is 57311327. The next prime is 57311341. The reversal of 57311334 is 43311375.

It is an interprime number because it is at equal distance from previous prime (57311327) and next prime (57311341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57311298 and 57311307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84822 + ... + 85494.

It is an arithmetic number, because the mean of its divisors is an integer number (2123100).

Almost surely, 2^57311334 is an apocalyptic number.

57311334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57311334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67939200).

57311334 is an abundant number, since it is smaller than the sum of its proper divisors (78567066).

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

57311334 is a wasteful number, since it uses less digits than its factorization.

57311334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 57311334 is about 7570.4249550471. The cubic root of 57311334 is about 385.5495250458.

The spelling of 57311334 in words is "fifty-seven million, three hundred eleven thousand, three hundred thirty-four".