164739 has 8 divisors (see below), whose sum is σ = 222480. Its totient is φ = 108416.

The previous prime is 164729. The next prime is 164743. The reversal of 164739 is 937461.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164739 - 2⁵ = 164707 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164739.

It is not an unprimeable number, because it can be changed into a prime (164729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (27810).

2¹⁶⁴⁷³⁹ is an apocalyptic number.

164739 is a deficient number, since it is larger than the sum of its proper divisors (57741).

164739 is an equidigital number, since it uses as much as digits as its factorization.

164739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709.

The product of its digits is 4536, while the sum is 30.

The square root of 164739 is about 405.8805242926. The cubic root of 164739 is about 54.8191303731.

It can be divided in two parts, 164 and 739, that added together give a triangular number (903 = T₄₂).

The spelling of 164739 in words is "one hundred sixty-four thousand, seven hundred thirty-nine".