90208157 has 8 divisors (see below), whose sum is σ = 98150136. Its totient is φ = 82409472.

The previous prime is 90208147. The next prime is 90208177. The reversal of 90208157 is 75180209.

It can be written as a sum of positive squares in 4 ways, for example, as 1207801 + 89000356 = 1099^2 + 9434^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90208157 - 2²² = 86013853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90208117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34508 + ... + 37029.

It is an arithmetic number, because the mean of its divisors is an integer number (12268767).

Almost surely, 2^90208157 is an apocalyptic number.

90208157 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

90208157 is a deficient number, since it is larger than the sum of its proper divisors (7941979).

90208157 is a wasteful number, since it uses less digits than its factorization.

90208157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71647.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 90208157 is about 9497.7974815217. The cubic root of 90208157 is about 448.4857033665.

The spelling of 90208157 in words is "ninety million, two hundred eight thousand, one hundred fifty-seven".