90005957 has 2 divisors, whose sum is σ = 90005958. Its totient is φ = 90005956.

The previous prime is 90005921. The next prime is 90005977. The reversal of 90005957 is 75950009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71334916 + 18671041 = 8446^2 + 4321^2 .

It is a cyclic number.

It is not a de Polignac number, because 90005957 - 2¹⁰ = 90004933 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 (90005917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45002978 + 45002979.

It is an arithmetic number, because the mean of its divisors is an integer number (45002979).

Almost surely, 2^90005957 is an apocalyptic number.

It is an amenable number.

90005957 is a deficient number, since it is larger than the sum of its proper divisors (1).

90005957 is an equidigital number, since it uses as much as digits as its factorization.

90005957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 90005957 is about 9487.1469367771. The cubic root of 90005957 is about 448.1503617443.

The spelling of 90005957 in words is "ninety million, five thousand, nine hundred fifty-seven".