32867 has 4 divisors (see below), whose sum is σ = 34320. Its totient is φ = 31416.

The previous prime is 32843. The next prime is 32869. The reversal of 32867 is 76823.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76823 = 17 ⋅4519.

It is a cyclic number.

It is not a de Polignac number, because 32867 - 2⁶ = 32803 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32867.

It is not an unprimeable number, because it can be changed into a prime (32869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 692 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2³²⁸⁶⁷ is an apocalyptic number.

32867 is a deficient number, since it is larger than the sum of its proper divisors (1453).

32867 is a wasteful number, since it uses less digits than its factorization.

32867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

The product of its digits is 2016, while the sum is 26.

The square root of 32867 is about 181.2925812051. The cubic root of 32867 is about 32.0321941621.

Subtracting 32867 from its reverse (76823), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 32867 in words is "thirty-two thousand, eight hundred sixty-seven".