164727 has 8 divisors (see below), whose sum is σ = 244080. Its totient is φ = 109800.

The previous prime is 164707. The next prime is 164729. The reversal of 164727 is 727461.

It is not a de Polignac number, because 164727 - 2⁶ = 164663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 6101 = 164727 / (1 + 6 + 4 + 7 + 2 + 7).

It is a d-powerful number, because it can be written as 1 + 6² + 7⁵ + 4 + 2¹⁷ + 7⁵ .

164727 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 164727.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164727.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3024 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (30510).

2¹⁶⁴⁷²⁷ is an apocalyptic number.

164727 is a deficient number, since it is larger than the sum of its proper divisors (79353).

164727 is an equidigital number, since it uses as much as digits as its factorization.

164727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6104 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 164727 is about 405.8657413480. The cubic root of 164727 is about 54.8177992867.

The spelling of 164727 in words is "one hundred sixty-four thousand, seven hundred twenty-seven".