90002117 has 2 divisors, whose sum is σ = 90002118. Its totient is φ = 90002116.

The previous prime is 90002089. The next prime is 90002137. The reversal of 90002117 is 71120009.

It is an a-pointer prime, because the next prime (90002137) can be obtained adding 90002117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86136961 + 3865156 = 9281^2 + 1966^2 .

It is an emirp because it is prime and its reverse (71120009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90002117 - 2²⁴ = 73224901 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90002137) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45001058 + 45001059.

It is an arithmetic number, because the mean of its divisors is an integer number (45001059).

Almost surely, 2^90002117 is an apocalyptic number.

It is an amenable number.

90002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

90002117 is an equidigital number, since it uses as much as digits as its factorization.

90002117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 90002117 is about 9486.9445555458. The cubic root of 90002117 is about 448.1439883814.

The spelling of 90002117 in words is "ninety million, two thousand, one hundred seventeen".