90357313 has 2 divisors, whose sum is σ = 90357314. Its totient is φ = 90357312.

The previous prime is 90357299. The next prime is 90357341. The reversal of 90357313 is 31375309.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74770609 + 15586704 = 8647^2 + 3948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90357313 is a prime.

It is not a weakly prime, because it can be changed into another prime (90357613) 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 as a sum of consecutive naturals, namely, 45178656 + 45178657.

It is an arithmetic number, because the mean of its divisors is an integer number (45178657).

Almost surely, 2^90357313 is an apocalyptic number.

It is an amenable number.

90357313 is a deficient number, since it is larger than the sum of its proper divisors (1).

90357313 is an equidigital number, since it uses as much as digits as its factorization.

90357313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 90357313 is about 9505.6463746554. The cubic root of 90357313 is about 448.7327523418.

The spelling of 90357313 in words is "ninety million, three hundred fifty-seven thousand, three hundred thirteen".