7913164 has 48 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 3225600.

The previous prime is 7913159. The next prime is 7913167. The reversal of 7913164 is 4613197.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7913167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69972 + ... + 70084.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^7913164 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 7913164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

7913164 is an abundant number, since it is smaller than the sum of its proper divisors (8710772).

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

7913164 is a wasteful number, since it uses less digits than its factorization.

7913164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 7913164 is about 2813.0346602913. The cubic root of 7913164 is about 199.2737325369.

It can be divided in two parts, 791 and 3164, that multiplied together give a square (2502724 = 1582²).

The spelling of 7913164 in words is "seven million, nine hundred thirteen thousand, one hundred sixty-four".