3972577 has 24 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 3024000.

The previous prime is 3972569. The next prime is 3972593. The reversal of 3972577 is 7752793.

It is not a de Polignac number, because 3972577 - 2³ = 3972569 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

Its product of digits (92610) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972517) 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 23 ways as a sum of consecutive naturals, for example, 15702 + ... + 15952.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^3972577 is an apocalyptic number.

It is an amenable number.

3972577 is a deficient number, since it is larger than the sum of its proper divisors (1198463).

3972577 is a wasteful number, since it uses less digits than its factorization.

3972577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its digits is 92610, while the sum is 40.

The square root of 3972577 is about 1993.1324592209. The cubic root of 3972577 is about 158.3765122003.

The spelling of 3972577 in words is "three million, nine hundred seventy-two thousand, five hundred seventy-seven".