90677 has 2 divisors, whose sum is σ = 90678. Its totient is φ = 90676.

The previous prime is 90659. The next prime is 90679. The reversal of 90677 is 77609.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 39601 = 226^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 90677 - 2¹⁰ = 89653 is a prime.

Together with 90679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90677.

It is not a weakly prime, because it can be changed into another prime (90679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45338 + 45339.

It is an arithmetic number, because the mean of its divisors is an integer number (45339).

2⁹⁰⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

90677 is a deficient number, since it is larger than the sum of its proper divisors (1).

90677 is an equidigital number, since it uses as much as digits as its factorization.

90677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 90677 is about 301.1262193832. The cubic root of 90677 is about 44.9261339617.

It can be divided in two parts, 90 and 677, that added together give a palindrome (767).

The spelling of 90677 in words is "ninety thousand, six hundred seventy-seven".