90013735 has 48 divisors (see below), whose sum is σ = 134857440. Its totient is φ = 57335040.

The previous prime is 90013681. The next prime is 90013747. The reversal of 90013735 is 53731009.

It is not a de Polignac number, because 90013735 - 2⁷ = 90013607 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283797 + ... + 284113.

It is an arithmetic number, because the mean of its divisors is an integer number (2809530).

Almost surely, 2^90013735 is an apocalyptic number.

90013735 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90013735 is a deficient number, since it is larger than the sum of its proper divisors (44843705).

90013735 is a wasteful number, since it uses less digits than its factorization.

90013735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 90013735 is about 9487.5568509496. The cubic root of 90013735 is about 448.1632705680.

The spelling of 90013735 in words is "ninety million, thirteen thousand, seven hundred thirty-five".