90149729 has 2 divisors, whose sum is σ = 90149730. Its totient is φ = 90149728.

The previous prime is 90149681. The next prime is 90149749. The reversal of 90149729 is 92794109.

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., 45900625 + 44249104 = 6775^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 90149729 - 2¹⁶ = 90084193 is a prime.

It is not a weakly prime, because it can be changed into another prime (90149749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45074864 + 45074865.

It is an arithmetic number, because the mean of its divisors is an integer number (45074865).

Almost surely, 2^90149729 is an apocalyptic number.

It is an amenable number.

90149729 is a deficient number, since it is larger than the sum of its proper divisors (1).

90149729 is an equidigital number, since it uses as much as digits as its factorization.

90149729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 90149729 is about 9494.7211122813. The cubic root of 90149729 is about 448.3888540974.

The spelling of 90149729 in words is "ninety million, one hundred forty-nine thousand, seven hundred twenty-nine".