90122761 has 2 divisors, whose sum is σ = 90122762. Its totient is φ = 90122760.

The previous prime is 90122707. The next prime is 90122771. The reversal of 90122761 is 16722109.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53290000 + 36832761 = 7300^2 + 6069^2 .

It is a cyclic number.

It is not a de Polignac number, because 90122761 - 2¹⁹ = 89598473 is a prime.

It is a super-2 number, since 2×90122761² = 16244224100526242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90122771) 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, 45061380 + 45061381.

It is an arithmetic number, because the mean of its divisors is an integer number (45061381).

Almost surely, 2^90122761 is an apocalyptic number.

It is an amenable number.

90122761 is a deficient number, since it is larger than the sum of its proper divisors (1).

90122761 is an equidigital number, since it uses as much as digits as its factorization.

90122761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 90122761 is about 9493.3008484931. The cubic root of 90122761 is about 448.3441382795.

The spelling of 90122761 in words is "ninety million, one hundred twenty-two thousand, seven hundred sixty-one".