165829 has 2 divisors, whose sum is σ = 165830. Its totient is φ = 165828.

The previous prime is 165817. The next prime is 165833. The reversal of 165829 is 928561.

165829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 4225 = 402^2 + 65^2 .

It is an emirp because it is prime and its reverse (928561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165829 - 2⁷ = 165701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82914 + 82915.

It is an arithmetic number, because the mean of its divisors is an integer number (82915).

2¹⁶⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

165829 is a deficient number, since it is larger than the sum of its proper divisors (1).

165829 is an equidigital number, since it uses as much as digits as its factorization.

165829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 165829 is about 407.2210701818. The cubic root of 165829 is about 54.9397687748.

The spelling of 165829 in words is "one hundred sixty-five thousand, eight hundred twenty-nine".