90311309 has 16 divisors (see below), whose sum is σ = 101274624. Its totient is φ = 79825200.

The previous prime is 90311303. The next prime is 90311321.

90311309 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90311309 - 2²⁴ = 73534093 is a prime.

It is a super-2 number, since 2×90311309² = 16312265066586962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90311303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 203642 + ... + 204084.

It is an arithmetic number, because the mean of its divisors is an integer number (6329664).

Almost surely, 2^90311309 is an apocalyptic number.

It is an amenable number.

90311309 is a deficient number, since it is larger than the sum of its proper divisors (10963315).

90311309 is a wasteful number, since it uses less digits than its factorization.

90311309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 90311309 is about 9503.2262416508. The cubic root of 90311309 is about 448.6565843473.

The spelling of 90311309 in words is "ninety million, three hundred eleven thousand, three hundred nine".