90806413 has 2 divisors, whose sum is σ = 90806414. Its totient is φ = 90806412.

The previous prime is 90806363. The next prime is 90806447. The reversal of 90806413 is 31460809.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86062729 + 4743684 = 9277^2 + 2178^2 .

It is an emirp because it is prime and its reverse (31460809) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90806413 - 2¹³ = 90798221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90806213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45403206 + 45403207.

It is an arithmetic number, because the mean of its divisors is an integer number (45403207).

Almost surely, 2^90806413 is an apocalyptic number.

It is an amenable number.

90806413 is a deficient number, since it is larger than the sum of its proper divisors (1).

90806413 is an equidigital number, since it uses as much as digits as its factorization.

90806413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 90806413 is about 9529.2398962352. The cubic root of 90806413 is about 449.4749646104.

It can be divided in two parts, 90806 and 413, that added together give a palindrome (91219).

The spelling of 90806413 in words is "ninety million, eight hundred six thousand, four hundred thirteen".