90366309 has 18 divisors (see below), whose sum is σ = 143475878. Its totient is φ = 54766800.

The previous prime is 90366301. The next prime is 90366359.

90366309 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 19554084 = 8415^2 + 4422^2 .

It is not a de Polignac number, because 90366309 - 2³ = 90366301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90366301) 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 17 ways as a sum of consecutive naturals, for example, 40402 + ... + 42579.

Almost surely, 2^90366309 is an apocalyptic number.

90366309 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90366309 is a deficient number, since it is larger than the sum of its proper divisors (53109569).

90366309 is a wasteful number, since it uses less digits than its factorization.

90366309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83009 (or 82995 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 90366309 is about 9506.1195553180. The cubic root of 90366309 is about 448.7476438348.

The spelling of 90366309 in words is "ninety million, three hundred sixty-six thousand, three hundred nine".