90948165 has 64 divisors (see below), whose sum is σ = 185241600. Its totient is φ = 37773120.

The previous prime is 90948161. The next prime is 90948167. The reversal of 90948165 is 56184909.

It is not a de Polignac number, because 90948165 - 2² = 90948161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90948161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55792 + ... + 57398.

It is an arithmetic number, because the mean of its divisors is an integer number (2894400).

Almost surely, 2^90948165 is an apocalyptic number.

It is an amenable number.

90948165 is an abundant number, since it is smaller than the sum of its proper divisors (94293435).

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

90948165 is a wasteful number, since it uses less digits than its factorization.

90948165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 90948165 is about 9536.6747349377. The cubic root of 90948165 is about 449.7087250852.

The spelling of 90948165 in words is "ninety million, nine hundred forty-eight thousand, one hundred sixty-five".