57638673 has 6 divisors (see below), whose sum is σ = 83255874. Its totient is φ = 38425776.

The previous prime is 57638671. The next prime is 57638677. The reversal of 57638673 is 37683675.

57638673 is a `hidden beast` number, since 5 + 7 + 638 + 6 + 7 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 22212369 = 5952^2 + 4713^2 .

It is not a de Polignac number, because 57638673 - 2¹ = 57638671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57638671) 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 5 ways as a sum of consecutive naturals, for example, 3202140 + ... + 3202157.

It is an arithmetic number, because the mean of its divisors is an integer number (13875979).

Almost surely, 2^57638673 is an apocalyptic number.

It is an amenable number.

57638673 is a deficient number, since it is larger than the sum of its proper divisors (25617201).

57638673 is a wasteful number, since it uses less digits than its factorization.

57638673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404303 (or 6404300 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 57638673 is about 7592.0137644765. The cubic root of 57638673 is about 386.2821659202.

It can be divided in two parts, 57638 and 673, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 57638673 in words is "fifty-seven million, six hundred thirty-eight thousand, six hundred seventy-three".