84129966 has 24 divisors (see below), whose sum is σ = 182477880. Its totient is φ = 28013136.

The previous prime is 84129949. The next prime is 84130003. The reversal of 84129966 is 66992148.

It is a happy number.

It is a super-2 number, since 2×84129966² = 14155702358322312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20221 + ... + 24023.

It is an arithmetic number, because the mean of its divisors is an integer number (7603245).

Almost surely, 2^84129966 is an apocalyptic number.

84129966 is an abundant number, since it is smaller than the sum of its proper divisors (98347914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84129966 is a wasteful number, since it uses less digits than its factorization.

84129966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5037 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 84129966 is about 9172.2388760869. The cubic root of 84129966 is about 438.1776660858.

The spelling of 84129966 in words is "eighty-four million, one hundred twenty-nine thousand, nine hundred sixty-six".