32164 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 13440.

The previous prime is 32159. The next prime is 32173. The reversal of 32164 is 46123.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2³²¹⁶⁴ is an apocalyptic number.

32164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32164 is an abundant number, since it is smaller than the sum of its proper divisors (34364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

32164 is a wasteful number, since it uses less digits than its factorization.

32164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 32164 is about 179.3432463183. The cubic root of 32164 is about 31.8021648514.

Adding to 32164 its reverse (46123), we get a palindrome (78287).

It can be divided in two parts, 32 and 164, that added together give a square (196 = 14²).

The spelling of 32164 in words is "thirty-two thousand, one hundred sixty-four".