32167 has 4 divisors (see below), whose sum is σ = 33880. Its totient is φ = 30456.

The previous prime is 32159. The next prime is 32173. The reversal of 32167 is 76123.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 32167 - 2³ = 32159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 1693 = 32167 / (3 + 2 + 1 + 6 + 7).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 828 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (8470).

2³²¹⁶⁷ is an apocalyptic number.

32167 is a deficient number, since it is larger than the sum of its proper divisors (1713).

32167 is a wasteful number, since it uses less digits than its factorization.

32167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712.

The product of its digits is 252, while the sum is 19.

The square root of 32167 is about 179.3516099733. The cubic root of 32167 is about 31.8031535709.

Subtracting 32167 from its reverse (76123), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 3216 and 7, that added together give a palindrome (3223).

The spelling of 32167 in words is "thirty-two thousand, one hundred sixty-seven".