90333117 has 24 divisors (see below), whose sum is σ = 155678400. Its totient is φ = 51618168.

The previous prime is 90333097. The next prime is 90333179. The reversal of 90333117 is 71133309.

It is not a de Polignac number, because 90333117 - 2⁷ = 90332989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90333517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32817 + ... + 35462.

It is an arithmetic number, because the mean of its divisors is an integer number (6486600).

Almost surely, 2^90333117 is an apocalyptic number.

It is an amenable number.

90333117 is a deficient number, since it is larger than the sum of its proper divisors (65345283).

90333117 is a wasteful number, since it uses less digits than its factorization.

90333117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68302 (or 68289 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 90333117 is about 9504.3735722035. The cubic root of 90333117 is about 448.6926946840.

The spelling of 90333117 in words is "ninety million, three hundred thirty-three thousand, one hundred seventeen".