90966129 has 16 divisors (see below), whose sum is σ = 128335680. Its totient is φ = 57153600.

The previous prime is 90966119. The next prime is 90966137. The reversal of 90966129 is 92166909.

It is a happy number.

It is not a de Polignac number, because 90966129 - 2⁹ = 90965617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90966119) 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 in 15 ways as a sum of consecutive naturals, for example, 7179 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (8020980).

Almost surely, 2^90966129 is an apocalyptic number.

It is an amenable number.

90966129 is a deficient number, since it is larger than the sum of its proper divisors (37369551).

90966129 is a wasteful number, since it uses less digits than its factorization.

90966129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 90966129 is about 9537.6165261558. The cubic root of 90966129 is about 449.7383318240.

It can be divided in two parts, 9096 and 6129, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 90966129 in words is "ninety million, nine hundred sixty-six thousand, one hundred twenty-nine".