164316 has 12 divisors (see below), whose sum is σ = 383432. Its totient is φ = 54768.

The previous prime is 164309. The next prime is 164321. The reversal of 164316 is 613461.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164292 and 164301.

It is a congruent number.

It is an unprimeable number.

164316 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, 6835 + ... + 6858.

2¹⁶⁴³¹⁶ is an apocalyptic number.

It is an amenable number.

164316 is an abundant number, since it is smaller than the sum of its proper divisors (219116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164316 is a wasteful number, since it uses less digits than its factorization.

164316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13698 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 164316 is about 405.3591000582. The cubic root of 164316 is about 54.7721705002.

Adding to 164316 its reverse (613461), we get a palindrome (777777).

The spelling of 164316 in words is "one hundred sixty-four thousand, three hundred sixteen".