90905637 has 16 divisors (see below), whose sum is σ = 127715328. Its totient is φ = 57401520.

The previous prime is 90905627. The next prime is 90905641. The reversal of 90905637 is 73650909.

It is not a de Polignac number, because 90905637 - 2¹⁵ = 90872869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90905595 and 90905604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90905627) 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 15 ways as a sum of consecutive naturals, for example, 712 + ... + 13502.

It is an arithmetic number, because the mean of its divisors is an integer number (7982208).

Almost surely, 2^90905637 is an apocalyptic number.

It is an amenable number.

90905637 is a deficient number, since it is larger than the sum of its proper divisors (36809691).

90905637 is a wasteful number, since it uses less digits than its factorization.

90905637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 90905637 is about 9534.4447662148. Note that the first 3 decimals coincide. The cubic root of 90905637 is about 449.6386185050.

The spelling of 90905637 in words is "ninety million, nine hundred five thousand, six hundred thirty-seven".