3972964 has 6 divisors (see below), whose sum is σ = 6952694. Its totient is φ = 1986480.

The previous prime is 3972959. The next prime is 3972973. The reversal of 3972964 is 4692793.

3972964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 4900 = 1992^2 + 70^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 496617 + ... + 496624.

Almost surely, 2^3972964 is an apocalyptic number.

It is an amenable number.

3972964 is a deficient number, since it is larger than the sum of its proper divisors (2979730).

3972964 is a wasteful number, since it uses less digits than its factorization.

3972964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993245 (or 993243 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 3972964 is about 1993.2295402186. The cubic root of 3972964 is about 158.3816549343.

It can be divided in two parts, 39729 and 64, that added together give a palindrome (39793).

The spelling of 3972964 in words is "three million, nine hundred seventy-two thousand, nine hundred sixty-four".