164829 has 16 divisors (see below), whose sum is σ = 258048. Its totient is φ = 91632.

The previous prime is 164821. The next prime is 164831. The reversal of 164829 is 928461.

164829 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164829 - 2³ = 164821 is a prime.

164829 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 164796 and 164805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2¹⁶⁴⁸²⁹ is an apocalyptic number.

It is an amenable number.

164829 is a deficient number, since it is larger than the sum of its proper divisors (93219).

164829 is a wasteful number, since it uses less digits than its factorization.

164829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 3456, while the sum is 30.

The square root of 164829 is about 405.9913792188. The cubic root of 164829 is about 54.8291114615.

The spelling of 164829 in words is "one hundred sixty-four thousand, eight hundred twenty-nine".