3972007 has 12 divisors (see below), whose sum is σ = 4531080. Its totient is φ = 3470688.

The previous prime is 3971993. The next prime is 3972011. The reversal of 3972007 is 7002793.

It is a happy number.

It is not a de Polignac number, because 3972007 - 2⁷ = 3971879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593 + ... + 3829.

It is an arithmetic number, because the mean of its divisors is an integer number (377590).

Almost surely, 2^3972007 is an apocalyptic number.

3972007 is a deficient number, since it is larger than the sum of its proper divisors (559073).

3972007 is a wasteful number, since it uses less digits than its factorization.

3972007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 3972007 is about 1992.9894630931. The cubic root of 3972007 is about 158.3689370226.

The spelling of 3972007 in words is "three million, nine hundred seventy-two thousand, seven".