10829164 has 24 divisors (see below), whose sum is σ = 20185200. Its totient is φ = 5068800.

The previous prime is 10829131. The next prime is 10829173. The reversal of 10829164 is 46192801.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 5964 + ... + 7564.

It is an arithmetic number, because the mean of its divisors is an integer number (841050).

Almost surely, 2^10829164 is an apocalyptic number.

It is an amenable number.

10829164 is a deficient number, since it is larger than the sum of its proper divisors (9356036).

10829164 is a wasteful number, since it uses less digits than its factorization.

10829164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10829164 is about 3290.7695148703. The cubic root of 10829164 is about 221.2406760836.

The spelling of 10829164 in words is "ten million, eight hundred twenty-nine thousand, one hundred sixty-four".