90738505 has 48 divisors (see below), whose sum is σ = 131382720. Its totient is φ = 59748480.

The previous prime is 90738481. The next prime is 90738517. The reversal of 90738505 is 50583709.

It is not a de Polignac number, because 90738505 - 2²¹ = 88641353 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 652726 + ... + 652864.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 2^90738505 is an apocalyptic number.

It is an amenable number.

90738505 is a deficient number, since it is larger than the sum of its proper divisors (40644215).

90738505 is a wasteful number, since it uses less digits than its factorization.

90738505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 90738505 is about 9525.6760914908. The cubic root of 90738505 is about 449.3628926515.

It can be divided in two parts, 9073 and 8505, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 90738505 in words is "ninety million, seven hundred thirty-eight thousand, five hundred five".