47564001 has 12 divisors (see below), whose sum is σ = 68991780. Its totient is φ = 31576320.

The previous prime is 47563969. The next prime is 47564017. The reversal of 47564001 is 10046574.

47564001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 4004001 = 6600^2 + 2001^2 .

It is not a de Polignac number, because 47564001 - 2⁵ = 47563969 is a prime.

It is a super-2 number, since 2×47564001² = 4524668382256002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47564021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8796 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (5749315).

Almost surely, 2^47564001 is an apocalyptic number.

It is an amenable number.

47564001 is a deficient number, since it is larger than the sum of its proper divisors (21427779).

47564001 is a wasteful number, since it uses less digits than its factorization.

47564001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22173 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47564001 is about 6896.6659336233. The cubic root of 47564001 is about 362.3204050523.

The spelling of 47564001 in words is "forty-seven million, five hundred sixty-four thousand, one".