7213164 has 48 divisors (see below), whose sum is σ = 19692288. Its totient is φ = 2011968.

The previous prime is 7213139. The next prime is 7213169. The reversal of 7213164 is 4613127.

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

It is not an unprimeable number, because it can be changed into a prime (7213169) 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, 2614 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (410256).

Almost surely, 2^7213164 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 7213164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846144).

7213164 is an abundant number, since it is smaller than the sum of its proper divisors (12479124).

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

7213164 is a wasteful number, since it uses less digits than its factorization.

7213164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 7213164 is about 2685.7334193847. The cubic root of 7213164 is about 193.2154877013.

The spelling of 7213164 in words is "seven million, two hundred thirteen thousand, one hundred sixty-four".