90617 has 2 divisors, whose sum is σ = 90618. Its totient is φ = 90616.

The previous prime is 90599. The next prime is 90619. The reversal of 90617 is 71609.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90601 + 16 = 301^2 + 4^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90617 is a prime.

It is a super-2 number, since 2×90617² = 16422881378, which contains 22 as substring.

Together with 90619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 90592 and 90601.

It is not a weakly prime, because it can be changed into another prime (90619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45308 + 45309.

It is an arithmetic number, because the mean of its divisors is an integer number (45309).

2⁹⁰⁶¹⁷ is an apocalyptic number.

It is an amenable number.

90617 is a deficient number, since it is larger than the sum of its proper divisors (1).

90617 is an equidigital number, since it uses as much as digits as its factorization.

90617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 90617 is about 301.0265768998. The cubic root of 90617 is about 44.9162227280.

It can be divided in two parts, 90 and 617, that added together give a palindrome (707).

The spelling of 90617 in words is "ninety thousand, six hundred seventeen".