164056 has 8 divisors (see below), whose sum is σ = 307620. Its totient is φ = 82024.

The previous prime is 164051. The next prime is 164057. The reversal of 164056 is 650461.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×164056² = 53828742272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164051) by changing a digit.

164056 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 as a sum of consecutive naturals, namely, 10246 + ... + 10261.

2¹⁶⁴⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

164056 is a deficient number, since it is larger than the sum of its proper divisors (143564).

164056 is a wasteful number, since it uses less digits than its factorization.

164056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 164056 is about 405.0382697968. The cubic root of 164056 is about 54.7432662708.

The spelling of 164056 in words is "one hundred sixty-four thousand, fifty-six".