90577937 has 2 divisors, whose sum is σ = 90577938. Its totient is φ = 90577936.

The previous prime is 90577913. The next prime is 90577943. The reversal of 90577937 is 73977509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47004736 + 43573201 = 6856^2 + 6601^2 .

It is a cyclic number.

It is not a de Polignac number, because 90577937 - 2¹⁸ = 90315793 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 90577891 and 90577900.

It is not a weakly prime, because it can be changed into another prime (90577957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45288968 + 45288969.

It is an arithmetic number, because the mean of its divisors is an integer number (45288969).

Almost surely, 2^90577937 is an apocalyptic number.

It is an amenable number.

90577937 is a deficient number, since it is larger than the sum of its proper divisors (1).

90577937 is an equidigital number, since it uses as much as digits as its factorization.

90577937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 416745, while the sum is 47.

The square root of 90577937 is about 9517.2441914664. The cubic root of 90577937 is about 449.0976766777.

The spelling of 90577937 in words is "ninety million, five hundred seventy-seven thousand, nine hundred thirty-seven".