29164 has 12 divisors (see below), whose sum is σ = 53424. Its totient is φ = 13904.

The previous prime is 29153. The next prime is 29167. The reversal of 29164 is 46192.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (29167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2²⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

29164 is a deficient number, since it is larger than the sum of its proper divisors (24260).

29164 is a wasteful number, since it uses less digits than its factorization.

29164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 29164 is about 170.7747053870. The cubic root of 29164 is about 30.7809743634.

It can be divided in two parts, 2916 and 4, that multiplied together give a square (11664 = 108²).

The spelling of 29164 in words is "twenty-nine thousand, one hundred sixty-four".