47972601 has 16 divisors (see below), whose sum is σ = 71334720. Its totient is φ = 31862880.

The previous prime is 47972581. The next prime is 47972621. The reversal of 47972601 is 10627974.

It is a happy number.

47972601 is a `hidden beast` number, since 47 + 9 + 7 + 2 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (47972581) and next prime (47972621).

It is not a de Polignac number, because 47972601 - 2⁵ = 47972569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47972621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4426 + ... + 10748.

It is an arithmetic number, because the mean of its divisors is an integer number (4458420).

Almost surely, 2^47972601 is an apocalyptic number.

It is an amenable number.

47972601 is a deficient number, since it is larger than the sum of its proper divisors (23362119).

47972601 is a wasteful number, since it uses less digits than its factorization.

47972601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47972601 is about 6926.2255955174. The cubic root of 47972601 is about 363.3549563953.

The spelling of 47972601 in words is "forty-seven million, nine hundred seventy-two thousand, six hundred one".