966829113 has 24 divisors (see below), whose sum is σ = 1406336256. Its totient is φ = 640046400.

The previous prime is 966829111. The next prime is 966829133. The reversal of 966829113 is 311928669.

It is a happy number.

It is not a de Polignac number, because 966829113 - 2¹ = 966829111 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (966829111) 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 23 ways as a sum of consecutive naturals, for example, 1089556 + ... + 1090442.

It is an arithmetic number, because the mean of its divisors is an integer number (58597344).

Almost surely, 2^966829113 is an apocalyptic number.

It is an amenable number.

966829113 is a deficient number, since it is larger than the sum of its proper divisors (439507143).

966829113 is a wasteful number, since it uses less digits than its factorization.

966829113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1602 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 966829113 is about 31093.8758118058. The cubic root of 966829113 is about 988.8184772101.

It can be divided in two parts, 9668 and 29113, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 966829113 in words is "nine hundred sixty-six million, eight hundred twenty-nine thousand, one hundred thirteen".