90164 has 6 divisors (see below), whose sum is σ = 157794. Its totient is φ = 45080.

The previous prime is 90163. The next prime is 90173. The reversal of 90164 is 46109.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 4900 = 292^2 + 70^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11267 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (26299).

2⁹⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

90164 is a deficient number, since it is larger than the sum of its proper divisors (67630).

90164 is a wasteful number, since it uses less digits than its factorization.

90164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22545 (or 22543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 90164 is about 300.2732089281. The cubic root of 90164 is about 44.8412513328.

The spelling of 90164 in words is "ninety thousand, one hundred sixty-four".