90385913 has 2 divisors, whose sum is σ = 90385914. Its totient is φ = 90385912.

The previous prime is 90385879. The next prime is 90385927. The reversal of 90385913 is 31958309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55905529 + 34480384 = 7477^2 + 5872^2 .

It is an emirp because it is prime and its reverse (31958309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90385913 - 2⁸ = 90385657 is a prime.

It is a super-2 number, since 2×90385913² = 16339226537687138, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (90385943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45192956 + 45192957.

It is an arithmetic number, because the mean of its divisors is an integer number (45192957).

Almost surely, 2^90385913 is an apocalyptic number.

It is an amenable number.

90385913 is a deficient number, since it is larger than the sum of its proper divisors (1).

90385913 is an equidigital number, since it uses as much as digits as its factorization.

90385913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 90385913 is about 9507.1506246614. The cubic root of 90385913 is about 448.7800918154.

The spelling of 90385913 in words is "ninety million, three hundred eighty-five thousand, nine hundred thirteen".