507164 has 24 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 212976.

The previous prime is 507163. The next prime is 507193. The reversal of 507164 is 461705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507163) 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, 1499 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (43120).

2⁵⁰⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

507164 is an abundant number, since it is smaller than the sum of its proper divisors (527716).

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

507164 is a wasteful number, since it uses less digits than its factorization.

507164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 507164 is about 712.1544776241. The cubic root of 507164 is about 79.7473277997.

Adding to 507164 its reverse (461705), we get a palindrome (968869).

The spelling of 507164 in words is "five hundred seven thousand, one hundred sixty-four".