196164 has 18 divisors (see below), whose sum is σ = 495950. Its totient is φ = 65376.

The previous prime is 196159. The next prime is 196169. The reversal of 196164 is 461691.

196164 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (196159) and next prime (196169).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 66564 = 360^2 + 258^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196164.

It is not an unprimeable number, because it can be changed into a prime (196169) 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, 2689 + ... + 2760.

2¹⁹⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

196164 is an abundant number, since it is smaller than the sum of its proper divisors (299786).

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

196164 is a wasteful number, since it uses less digits than its factorization.

196164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5454 counting only the distinct ones).

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

The square root of 196164 is about 442.9040528151. The cubic root of 196164 is about 58.1040541942.

It can be divided in two parts, 1961 and 64, that added together give a square (2025 = 45²).

The spelling of 196164 in words is "one hundred ninety-six thousand, one hundred sixty-four".