90912129 has 64 divisors (see below), whose sum is σ = 160634880. Its totient is φ = 44352000.

The previous prime is 90912121. The next prime is 90912149. The reversal of 90912129 is 92121909.

It is not a de Polignac number, because 90912129 - 2³ = 90912121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90912129.

It is not an unprimeable number, because it can be changed into a prime (90912121) 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 in 63 ways as a sum of consecutive naturals, for example, 274494 + ... + 274824.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^90912129 is an apocalyptic number.

It is an amenable number.

90912129 is a deficient number, since it is larger than the sum of its proper divisors (69722751).

90912129 is a wasteful number, since it uses less digits than its factorization.

90912129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 90912129 is about 9534.7852099562. The cubic root of 90912129 is about 449.6493218546.

It can be divided in two parts, 90 and 912129, that added together give a palindrome (912219).

The spelling of 90912129 in words is "ninety million, nine hundred twelve thousand, one hundred twenty-nine".