57117312 has 160 divisors (see below), whose sum is σ = 194509920. Its totient is φ = 16298496.

The previous prime is 57117301. The next prime is 57117329. The reversal of 57117312 is 21371175.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 72183 + ... + 72969.

It is an arithmetic number, because the mean of its divisors is an integer number (1215687).

Almost surely, 2^57117312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97254960).

57117312 is an abundant number, since it is smaller than the sum of its proper divisors (137392608).

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

57117312 is an equidigital number, since it uses as much as digits as its factorization.

57117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 57117312 is about 7557.5996189266. The cubic root of 57117312 is about 385.1139528882.

Adding to 57117312 its reverse (21371175), we get a palindrome (78488487).

The spelling of 57117312 in words is "fifty-seven million, one hundred seventeen thousand, three hundred twelve".