90338913 has 24 divisors (see below), whose sum is σ = 150678528. Its totient is φ = 51086592.

The previous prime is 90338903. The next prime is 90338947. The reversal of 90338913 is 31983309.

It is not a de Polignac number, because 90338913 - 2²⁰ = 89290337 is a prime.

It is a super-2 number, since 2×90338913² = 16322238404043138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90338903) 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 23 ways as a sum of consecutive naturals, for example, 1281 + ... + 13502.

It is an arithmetic number, because the mean of its divisors is an integer number (6278272).

Almost surely, 2^90338913 is an apocalyptic number.

It is an amenable number.

90338913 is a deficient number, since it is larger than the sum of its proper divisors (60339615).

90338913 is a wasteful number, since it uses less digits than its factorization.

90338913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14893 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 90338913 is about 9504.6784795699. The cubic root of 90338913 is about 448.7022908961.

The spelling of 90338913 in words is "ninety million, three hundred thirty-eight thousand, nine hundred thirteen".