185164 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 74496.

The previous prime is 185161. The next prime is 185167. The reversal of 185164 is 461581.

185164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (185161) and next prime (185167).

It is not an unprimeable number, because it can be changed into a prime (185161) 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, 282 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹⁸⁵¹⁶⁴ is an apocalyptic number.

185164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

185164 is an abundant number, since it is smaller than the sum of its proper divisors (207956).

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

185164 is a wasteful number, since it uses less digits than its factorization.

185164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 185164 is about 430.3068672471. The cubic root of 185164 is about 56.9970245702.

The spelling of 185164 in words is "one hundred eighty-five thousand, one hundred sixty-four".