164839 has 2 divisors, whose sum is σ = 164840. Its totient is φ = 164838.

The previous prime is 164837. The next prime is 164881. The reversal of 164839 is 938461.

164839 = T₃₃₀ + T₃₃₁ + T₃₃₂.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164839 - 2¹ = 164837 is a prime.

Together with 164837, it forms a pair of twin primes.

164839 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 164839.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82419 + 82420.

It is an arithmetic number, because the mean of its divisors is an integer number (82420).

2¹⁶⁴⁸³⁹ is an apocalyptic number.

164839 is the 332-nd centered triangular number.

164839 is a deficient number, since it is larger than the sum of its proper divisors (1).

164839 is an equidigital number, since it uses as much as digits as its factorization.

164839 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The square root of 164839 is about 406.0036945645. The cubic root of 164839 is about 54.8302202470.

The spelling of 164839 in words is "one hundred sixty-four thousand, eight hundred thirty-nine".