47504961 has 30 divisors (see below), whose sum is σ = 82557090. Its totient is φ = 27143424.

The previous prime is 47504917. The next prime is 47504983. The reversal of 47504961 is 16940574.

47504961 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 only one way, i.e., 30735936 + 16769025 = 5544^2 + 4095^2 .

It is not a de Polignac number, because 47504961 - 2¹⁴ = 47488577 is a prime.

It is a super-2 number, since 2×47504961² = 4513442639223042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47500961) 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 29 ways as a sum of consecutive naturals, for example, 2016 + ... + 9953.

It is an arithmetic number, because the mean of its divisors is an integer number (2751903).

Almost surely, 2^47504961 is an apocalyptic number.

It is an amenable number.

47504961 is a deficient number, since it is larger than the sum of its proper divisors (35052129).

47504961 is a wasteful number, since it uses less digits than its factorization.

47504961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47504961 is about 6892.3842754159. The cubic root of 47504961 is about 362.1704299083.

The spelling of 47504961 in words is "forty-seven million, five hundred four thousand, nine hundred sixty-one".