232164 has 18 divisors (see below), whose sum is σ = 586950. Its totient is φ = 77376.

The previous prime is 232153. The next prime is 232171. The reversal of 232164 is 461232.

It is a happy number.

232164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 1764 = 480^2 + 42^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

232164 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 5 ways as a sum of consecutive naturals, for example, 3189 + ... + 3260.

2²³²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

232164 is an abundant number, since it is smaller than the sum of its proper divisors (354786).

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

232164 is a wasteful number, since it uses less digits than its factorization.

232164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6454 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 232164 is about 481.8339963099. The cubic root of 232164 is about 61.4608118379.

Adding to 232164 its reverse (461232), we get a palindrome (693396).

It can be divided in two parts, 23216 and 4, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 232164 in words is "two hundred thirty-two thousand, one hundred sixty-four".