3167164 has 72 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 1128960.

The previous prime is 3167149. The next prime is 3167191. The reversal of 3167164 is 4617613.

3167164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 27972 + ... + 28084.

It is an arithmetic number, because the mean of its divisors is an integer number (106134).

Almost surely, 2^3167164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3167164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

3167164 is an abundant number, since it is smaller than the sum of its proper divisors (4474484).

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

3167164 is a wasteful number, since it uses less digits than its factorization.

3167164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 3167164 is about 1779.6527751222. The cubic root of 3167164 is about 146.8554891240.

The spelling of 3167164 in words is "three million, one hundred sixty-seven thousand, one hundred sixty-four".