90917000 has 32 divisors (see below), whose sum is σ = 212748120. Its totient is φ = 36366400.

The previous prime is 90916993. The next prime is 90917011. The reversal of 90917000 is 71909.

It can be written as a sum of positive squares in 4 ways, for example, as 35593156 + 55323844 = 5966^2 + 7438^2 .

It is a super-3 number, since 3×90917000³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44459 + ... + 46458.

Almost surely, 2^90917000 is an apocalyptic number.

It is an amenable number.

90917000 is an abundant number, since it is smaller than the sum of its proper divisors (121831120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90917000 is a wasteful number, since it uses less digits than its factorization.

90917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90938 (or 90924 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 90917000 is about 9535.0406396617. The cubic root of 90917000 is about 449.6573523296.

Adding to 90917000 its reverse (71909), we get a palindrome (90988909).

The spelling of 90917000 in words is "ninety million, nine hundred seventeen thousand".