57642345 has 24 divisors (see below), whose sum is σ = 100446216. Its totient is φ = 30578688.

The previous prime is 57642341. The next prime is 57642349. The reversal of 57642345 is 54324675.

57642345 is a `hidden beast` number, since 5 + 7 + 642 + 3 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (57642341) and next prime (57642349).

It can be written as a sum of positive squares in 4 ways, for example, as 1212201 + 56430144 = 1101^2 + 7512^2 .

It is not a de Polignac number, because 57642345 - 2² = 57642341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57642341) 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, 5367 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (4185259).

Almost surely, 2^57642345 is an apocalyptic number.

It is an amenable number.

57642345 is a deficient number, since it is larger than the sum of its proper divisors (42803871).

57642345 is a wasteful number, since it uses less digits than its factorization.

57642345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6838 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57642345 is about 7592.2555936955. The cubic root of 57642345 is about 386.2903687345.

The spelling of 57642345 in words is "fifty-seven million, six hundred forty-two thousand, three hundred forty-five".