90508193 has 2 divisors, whose sum is σ = 90508194. Its totient is φ = 90508192.

The previous prime is 90508181. The next prime is 90508199. The reversal of 90508193 is 39180509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75047569 + 15460624 = 8663^2 + 3932^2 .

It is an emirp because it is prime and its reverse (39180509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90508193 - 2⁴ = 90508177 is a prime.

It is equal to p_5244866 and since 90508193 and 5244866 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (90508199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45254096 + 45254097.

It is an arithmetic number, because the mean of its divisors is an integer number (45254097).

Almost surely, 2^90508193 is an apocalyptic number.

It is an amenable number.

90508193 is a deficient number, since it is larger than the sum of its proper divisors (1).

90508193 is an equidigital number, since it uses as much as digits as its factorization.

90508193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 90508193 is about 9513.5793999945. The cubic root of 90508193 is about 448.9823803484.

The spelling of 90508193 in words is "ninety million, five hundred eight thousand, one hundred ninety-three".