164356 has 12 divisors (see below), whose sum is σ = 304668. Its totient is φ = 77312.

The previous prime is 164341. The next prime is 164357. The reversal of 164356 is 653461.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 16900 = 384^2 + 130^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164356.

It is not an unprimeable number, because it can be changed into a prime (164357) by changing a digit.

164356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1141 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2¹⁶⁴³⁵⁶ is an apocalyptic number.

It is an amenable number.

164356 is a deficient number, since it is larger than the sum of its proper divisors (140312).

164356 is a wasteful number, since it uses less digits than its factorization.

164356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 164356 is about 405.4084360247. The cubic root of 164356 is about 54.7766145979.

It can be divided in two parts, 16 and 4356, that multiplied together give a palindrome (69696).

The spelling of 164356 in words is "one hundred sixty-four thousand, three hundred fifty-six".