32967 has 20 divisors (see below), whose sum is σ = 55176. Its totient is φ = 19440.

The previous prime is 32957. The next prime is 32969. The reversal of 32967 is 76923.

It is not a de Polignac number, because 32967 - 2⁷ = 32839 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 873 + ... + 909.

2³²⁹⁶⁷ is an apocalyptic number.

32967 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

32967 is a deficient number, since it is larger than the sum of its proper divisors (22209).

32967 is a wasteful number, since it uses less digits than its factorization.

32967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 32967 is about 181.5681690165. The cubic root of 32967 is about 32.0646479529.

32967 divided by its sum of digits (27) gives a palindrome (1221).

Subtracting 32967 from its reverse (76923), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 32 and 967, that added together give a palindrome (999).

The spelling of 32967 in words is "thirty-two thousand, nine hundred sixty-seven".