164196 has 18 divisors (see below), whose sum is σ = 415142. Its totient is φ = 54720.

The previous prime is 164191. The next prime is 164201. The reversal of 164196 is 691461.

It is an interprime number because it is at equal distance from previous prime (164191) and next prime (164201).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 34596 = 360^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×164196³ = 13280333268604608, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (164191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2245 + ... + 2316.

2¹⁶⁴¹⁹⁶ is an apocalyptic number.

It is an amenable number.

164196 is an abundant number, since it is smaller than the sum of its proper divisors (250946).

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

164196 is a wasteful number, since it uses less digits than its factorization.

164196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4566 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 164196 is about 405.2110561177. The cubic root of 164196 is about 54.7588338783.

The spelling of 164196 in words is "one hundred sixty-four thousand, one hundred ninety-six".