91968129 has 40 divisors (see below), whose sum is σ = 150856992. Its totient is φ = 55373760.

The previous prime is 91968127. The next prime is 91968137. The reversal of 91968129 is 92186919.

It is not a de Polignac number, because 91968129 - 2¹ = 91968127 is a prime.

It is a super-3 number, since 3×91968129³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (91968127) 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 39 ways as a sum of consecutive naturals, for example, 207382 + ... + 207824.

Almost surely, 2^91968129 is an apocalyptic number.

91968129 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

91968129 is a deficient number, since it is larger than the sum of its proper divisors (58888863).

91968129 is a wasteful number, since it uses less digits than its factorization.

91968129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 91968129 is about 9590.0015119915. The cubic root of 91968129 is about 451.3836081477.

The spelling of 91968129 in words is "ninety-one million, nine hundred sixty-eight thousand, one hundred twenty-nine".