90738307983 has 64 divisors (see below), whose sum is σ = 130221342720. Its totient is φ = 56099347200.

The previous prime is 90738307931. The next prime is 90738308047. The reversal of 90738307983 is 38970383709.

It is a Cunningham number, because it is equal to 301228²-1.

It is a de Polignac number, because none of the positive numbers 2^k-90738307983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90738307183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68377866 + ... + 68379192.

It is an arithmetic number, because the mean of its divisors is an integer number (2034708480).

Almost surely, 2^90738307983 is an apocalyptic number.

90738307983 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

90738307983 is a deficient number, since it is larger than the sum of its proper divisors (39483034737).

90738307983 is a wasteful number, since it uses less digits than its factorization.

90738307983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708.

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 90738307983 in words is "ninety billion, seven hundred thirty-eight million, three hundred seven thousand, nine hundred eighty-three".