32567 has 4 divisors (see below), whose sum is σ = 33720. Its totient is φ = 31416.

The previous prime is 32563. The next prime is 32569. The reversal of 32567 is 76523.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76523 = 59 ⋅1297.

It is a cyclic number.

It is not a de Polignac number, because 32567 - 2² = 32563 is a prime.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32567.

It is not an unprimeable number, because it can be changed into a prime (32561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (8430).

2³²⁵⁶⁷ is an apocalyptic number.

32567 is a deficient number, since it is larger than the sum of its proper divisors (1153).

32567 is a wasteful number, since it uses less digits than its factorization.

32567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152.

The product of its digits is 1260, while the sum is 23.

The square root of 32567 is about 180.4632926664. The cubic root of 32567 is about 31.9344360721.

Subtracting 32567 from its reverse (76523), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 32567 in words is "thirty-two thousand, five hundred sixty-seven".