90313 has 2 divisors, whose sum is σ = 90314. Its totient is φ = 90312.

The previous prime is 90289. The next prime is 90353. The reversal of 90313 is 31309.

90313 = 212² + 213².

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 44944 = 213^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 90313 - 2⁵ = 90281 is a prime.

90313 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (90353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45156 + 45157.

It is an arithmetic number, because the mean of its divisors is an integer number (45157).

2⁹⁰³¹³ is an apocalyptic number.

90313 is the 213-rd centered square number.

It is an amenable number.

90313 is a deficient number, since it is larger than the sum of its proper divisors (1).

90313 is an equidigital number, since it uses as much as digits as its factorization.

90313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 90313 is about 300.5212138935. The cubic root of 90313 is about 44.8659384563.

The spelling of 90313 in words is "ninety thousand, three hundred thirteen".