3972969 has 80 divisors (see below), whose sum is σ = 8131200. Its totient is φ = 1905120.

The previous prime is 3972959. The next prime is 3972973. The reversal of 3972969 is 9692793.

It is not a de Polignac number, because 3972969 - 2⁴ = 3972953 is a prime.

It is a super-2 number, since 2×3972969² = 31568965349922, which contains 22 as substring.

3972969 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3972959) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305607 + ... + 305619.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

Almost surely, 2^3972969 is an apocalyptic number.

3972969 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3972969 is an abundant number, since it is smaller than the sum of its proper divisors (4158231).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3972969 is a wasteful number, since it uses less digits than its factorization.

3972969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 3972969 is about 1993.2307944641. The cubic root of 3972969 is about 158.3817213757.

The spelling of 3972969 in words is "three million, nine hundred seventy-two thousand, nine hundred sixty-nine".