712164 has 24 divisors (see below), whose sum is σ = 1759968. Its totient is φ = 223360.

The previous prime is 712157. The next prime is 712169. The reversal of 712164 is 461217.

It is a self number, because there is not a number n which added to its sum of digits gives 712164.

It is not an unprimeable number, because it can be changed into a prime (712169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1542 + ... + 1949.

It is an arithmetic number, because the mean of its divisors is an integer number (73332).

2⁷¹²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

712164 is an abundant number, since it is smaller than the sum of its proper divisors (1047804).

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

712164 is a wasteful number, since it uses less digits than its factorization.

712164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3513 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 712164 is about 843.8980981137. The cubic root of 712164 is about 89.3017573610.

The spelling of 712164 in words is "seven hundred twelve thousand, one hundred sixty-four".