3972507 has 32 divisors (see below), whose sum is σ = 6842880. Its totient is φ = 1989120.

The previous prime is 3972499. The next prime is 3972517. The reversal of 3972507 is 7052793.

It is not a de Polignac number, because 3972507 - 2³ = 3972499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3972517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6403 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (213840).

Almost surely, 2^3972507 is an apocalyptic number.

3972507 is a deficient number, since it is larger than the sum of its proper divisors (2870373).

3972507 is a wasteful number, since it uses less digits than its factorization.

3972507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 3972507 is about 1993.1148988455. The cubic root of 3972507 is about 158.3755819543.

The spelling of 3972507 in words is "three million, nine hundred seventy-two thousand, five hundred seven".