90165825 has 72 divisors (see below), whose sum is σ = 172384800. Its totient is φ = 46202400.

The previous prime is 90165821. The next prime is 90165851. The reversal of 90165825 is 52856109.

It is a happy number.

It is not a de Polignac number, because 90165825 - 2² = 90165821 is a prime.

It is a super-3 number, since 3×90165825³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90165825.

It is not an unprimeable number, because it can be changed into a prime (90165821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 648606 + ... + 648744.

Almost surely, 2^90165825 is an apocalyptic number.

It is an amenable number.

90165825 is a deficient number, since it is larger than the sum of its proper divisors (82218975).

90165825 is a wasteful number, since it uses less digits than its factorization.

90165825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 90165825 is about 9495.5687033479. The cubic root of 90165825 is about 448.4155387312.

It can be divided in two parts, 9016 and 5825, that added together give a palindrome (14841).

The spelling of 90165825 in words is "ninety million, one hundred sixty-five thousand, eight hundred twenty-five".