164349 has 10 divisors (see below), whose sum is σ = 245630. Its totient is φ = 109512.

The previous prime is 164341. The next prime is 164357. The reversal of 164349 is 943461.

It is an interprime number because it is at equal distance from previous prime (164341) and next prime (164357).

It can be written as a sum of positive squares in only one way, i.e., 164025 + 324 = 405^2 + 18^2 .

It is not a de Polignac number, because 164349 - 2³ = 164341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

164349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164341) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 934 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (24563).

2¹⁶⁴³⁴⁹ is an apocalyptic number.

It is an amenable number.

164349 is a deficient number, since it is larger than the sum of its proper divisors (81281).

164349 is an equidigital number, since it uses as much as digits as its factorization.

164349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2032 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164349 is about 405.3998026640. The cubic root of 164349 is about 54.7758369329.

The spelling of 164349 in words is "one hundred sixty-four thousand, three hundred forty-nine".