57582891 has 12 divisors (see below), whose sum is σ = 85110168. Its totient is φ = 37495584.

The previous prime is 57582887. The next prime is 57582907. The reversal of 57582891 is 19828575.

It is a happy number.

It is not a de Polignac number, because 57582891 - 2² = 57582887 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57582821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74010 + ... + 74783.

It is an arithmetic number, because the mean of its divisors is an integer number (7092514).

Almost surely, 2^57582891 is an apocalyptic number.

57582891 is a deficient number, since it is larger than the sum of its proper divisors (27527277).

57582891 is a wasteful number, since it uses less digits than its factorization.

57582891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148842 (or 148839 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 57582891 is about 7588.3391463482. The cubic root of 57582891 is about 386.1575126532.

It can be divided in two parts, 5758 and 2891, that added together give a square (8649 = 93²).

The spelling of 57582891 in words is "fifty-seven million, five hundred eighty-two thousand, eight hundred ninety-one".