90835287957 has 24 divisors (see below), whose sum is σ = 132721144920. Its totient is φ = 59858219520.

The previous prime is 90835287953. The next prime is 90835287979. The reversal of 90835287957 is 75978253809.

It can be written as a sum of positive squares in 4 ways, for example, as 24770352996 + 66064934961 = 157386^2 + 257031^2 .

It is not a de Polignac number, because 90835287957 - 2² = 90835287953 is a prime.

It is a super-2 number, since 2×90835287957² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90835287894 and 90835287903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90835287953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929857 + ... + 2960697.

It is an arithmetic number, because the mean of its divisors is an integer number (5530047705).

Almost surely, 2^90835287957 is an apocalyptic number.

It is an amenable number.

90835287957 is a deficient number, since it is larger than the sum of its proper divisors (41885856963).

90835287957 is a wasteful number, since it uses less digits than its factorization.

90835287957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34613 (or 34610 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 90835287957 in words is "ninety billion, eight hundred thirty-five million, two hundred eighty-seven thousand, nine hundred fifty-seven".