32166 has 12 divisors (see below), whose sum is σ = 69732. Its totient is φ = 10716.

The previous prime is 32159. The next prime is 32173. The reversal of 32166 is 66123.

Adding to 32166 its reverse (66123), we get a palindrome (98289).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32159) and next prime (32173).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1787 = 32166 / (3 + 2 + 1 + 6 + 6).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

32166 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, 876 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (5811).

2^{32166} is an apocalyptic number.

32166 is an abundant number, since it is smaller than the sum of its proper divisors (37566).

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

32166 is a wasteful number, since it uses less digits than its factorization.

32166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 32166 is about 179.3488221316. The cubic root of 32166 is about 31.8028240046.

The spelling of 32166 in words is "thirty-two thousand, one hundred sixty-six".

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