90258561 has 12 divisors (see below), whose sum is σ = 130630500. Its totient is φ = 60053760.

The previous prime is 90258547. The next prime is 90258563. The reversal of 90258561 is 16585209.

It is a happy number.

90258561 is a `hidden beast` number, since 90 + 2 + 5 + 8 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 40640625 = 7044^2 + 6375^2 .

It is not a de Polignac number, because 90258561 - 2¹⁰ = 90257537 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90258563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4936 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (10885875).

Almost surely, 2^90258561 is an apocalyptic number.

It is an amenable number.

90258561 is a deficient number, since it is larger than the sum of its proper divisors (40371939).

90258561 is a wasteful number, since it uses less digits than its factorization.

90258561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19776 (or 19773 counting only the distinct ones).

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

The square root of 90258561 is about 9500.4505682625. The cubic root of 90258561 is about 448.5692185945.

The spelling of 90258561 in words is "ninety million, two hundred fifty-eight thousand, five hundred sixty-one".