57633641 has 16 divisors (see below), whose sum is σ = 63478800. Its totient is φ = 52005888.

The previous prime is 57633613. The next prime is 57633649. The reversal of 57633641 is 14633675.

It can be written as a sum of positive squares in 8 ways, for example, as 177241 + 57456400 = 421^2 + 7580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57633641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57633649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125885 + ... + 126341.

It is an arithmetic number, because the mean of its divisors is an integer number (3967425).

Almost surely, 2^57633641 is an apocalyptic number.

It is an amenable number.

57633641 is a deficient number, since it is larger than the sum of its proper divisors (5845159).

57633641 is a wasteful number, since it uses less digits than its factorization.

57633641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668.

The product of its digits is 45360, while the sum is 35.

The square root of 57633641 is about 7591.6823563687. The cubic root of 57633641 is about 386.2709244607.

The spelling of 57633641 in words is "fifty-seven million, six hundred thirty-three thousand, six hundred forty-one".