3972967 has 4 divisors (see below), whose sum is σ = 4008240. Its totient is φ = 3937696.

The previous prime is 3972959. The next prime is 3972973. The reversal of 3972967 is 7692793.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7692793 = 1951 ⋅3943.

It is a cyclic number.

It is not a de Polignac number, because 3972967 - 2³ = 3972959 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 9³ + 7² + 2²¹ + 9³ + 6⁷ + 7² .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17467 + ... + 17692.

It is an arithmetic number, because the mean of its divisors is an integer number (1002060).

Almost surely, 2^3972967 is an apocalyptic number.

3972967 is a deficient number, since it is larger than the sum of its proper divisors (35273).

3972967 is a wasteful number, since it uses less digits than its factorization.

3972967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35272.

The product of its digits is 142884, while the sum is 43.

The square root of 3972967 is about 1993.2302927660. The cubic root of 3972967 is about 158.3816947991.

It can be divided in two parts, 397 and 2967, that added together give a square (3364 = 58²).

The spelling of 3972967 in words is "three million, nine hundred seventy-two thousand, nine hundred sixty-seven".