57540987 has 48 divisors (see below), whose sum is σ = 101986560. Its totient is φ = 30528576.

The previous prime is 57540979. The next prime is 57541021. The reversal of 57540987 is 78904575.

It is not a de Polignac number, because 57540987 - 2³ = 57540979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57540907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62988 + ... + 63894.

It is an arithmetic number, because the mean of its divisors is an integer number (2124720).

Almost surely, 2^57540987 is an apocalyptic number.

57540987 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

57540987 is a deficient number, since it is larger than the sum of its proper divisors (44445573).

57540987 is a wasteful number, since it uses less digits than its factorization.

57540987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57540987 is about 7585.5775653539. The cubic root of 57540987 is about 386.0638189020.

The spelling of 57540987 in words is "fifty-seven million, five hundred forty thousand, nine hundred eighty-seven".