90164523 has 16 divisors (see below), whose sum is σ = 127456256. Its totient is φ = 56596320.

The previous prime is 90164521. The next prime is 90164537. The reversal of 90164523 is 32546109.

It is not a de Polignac number, because 90164523 - 2¹ = 90164521 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90164521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9661 + ... + 16542.

It is an arithmetic number, because the mean of its divisors is an integer number (7966016).

Almost surely, 2^90164523 is an apocalyptic number.

90164523 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

90164523 is a deficient number, since it is larger than the sum of its proper divisors (37291733).

90164523 is a wasteful number, since it uses less digits than its factorization.

90164523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 90164523 is about 9495.5001448054. The cubic root of 90164523 is about 448.4133803382.

The spelling of 90164523 in words is "ninety million, one hundred sixty-four thousand, five hundred twenty-three".