3922164 has 18 divisors (see below), whose sum is σ = 9914450. Its totient is φ = 1307376.

The previous prime is 3922157. The next prime is 3922169. The reversal of 3922164 is 4612293.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 1764 = 1980^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54439 + ... + 54510.

Almost surely, 2^3922164 is an apocalyptic number.

It is an amenable number.

3922164 is an abundant number, since it is smaller than the sum of its proper divisors (5992286).

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

3922164 is a wasteful number, since it uses less digits than its factorization.

3922164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108959 (or 108954 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3922164 is about 1980.4454044482. The cubic root of 3922164 is about 157.7037122154.

It can be divided in two parts, 392 and 2164, that added together give a triangular number (2556 = T₇₁).

The spelling of 3922164 in words is "three million, nine hundred twenty-two thousand, one hundred sixty-four".