3982164 has 24 divisors (see below), whose sum is σ = 9612960. Its totient is φ = 1281504.

The previous prime is 3982157. The next prime is 3982171. The reversal of 3982164 is 4612893.

3982164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3982157) and next prime (3982171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5374 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (400540).

Almost surely, 2^3982164 is an apocalyptic number.

It is an amenable number.

3982164 is an abundant number, since it is smaller than the sum of its proper divisors (5630796).

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

3982164 is a wasteful number, since it uses less digits than its factorization.

3982164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11477 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3982164 is about 1995.5360182167. The cubic root of 3982164 is about 158.5038129293.

It can be divided in two parts, 3 and 982164, that multiplied together give a palindrome (2946492).

The spelling of 3982164 in words is "three million, nine hundred eighty-two thousand, one hundred sixty-four".