90289257 has 16 divisors (see below), whose sum is σ = 124232640. Its totient is φ = 58291200.

The previous prime is 90289229. The next prime is 90289271. The reversal of 90289257 is 75298209.

It is not a de Polignac number, because 90289257 - 2¹¹ = 90287209 is a prime.

It is a super-2 number, since 2×90289257² = 16304299859224098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90289217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14457 + ... + 19737.

It is an arithmetic number, because the mean of its divisors is an integer number (7764540).

Almost surely, 2^90289257 is an apocalyptic number.

It is an amenable number.

90289257 is a deficient number, since it is larger than the sum of its proper divisors (33943383).

90289257 is a wasteful number, since it uses less digits than its factorization.

90289257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 90289257 is about 9502.0659332589. The cubic root of 90289257 is about 448.6200640765.

The spelling of 90289257 in words is "ninety million, two hundred eighty-nine thousand, two hundred fifty-seven".