164339316 has 36 divisors (see below), whose sum is σ = 425549124. Its totient is φ = 53443200.

The previous prime is 164339299. The next prime is 164339359. The reversal of 164339316 is 613933461.

164339316 is a `hidden beast` number, since 1 + 6 + 4 + 339 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 159516900 = 2196^2 + 12630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54195 + ... + 57146.

It is an arithmetic number, because the mean of its divisors is an integer number (11820809).

Almost surely, 2^164339316 is an apocalyptic number.

It is an amenable number.

164339316 is an abundant number, since it is smaller than the sum of its proper divisors (261209808).

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

164339316 is a wasteful number, since it uses less digits than its factorization.

164339316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111392 (or 111387 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 164339316 is about 12819.4896934316. The cubic root of 164339316 is about 547.7476105242.

The spelling of 164339316 in words is "one hundred sixty-four million, three hundred thirty-nine thousand, three hundred sixteen".