33867 has 12 divisors (see below), whose sum is σ = 50544. Its totient is φ = 21840.

The previous prime is 33863. The next prime is 33871. The reversal of 33867 is 76833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33863) and next prime (33871).

It is not a de Polignac number, because 33867 - 2² = 33863 is a prime.

It is a super-2 number, since 2×33867² = 2293947378, which contains 22 as substring.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 33867.

It is not an unprimeable number, because it can be changed into a prime (33863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2³³⁸⁶⁷ is an apocalyptic number.

33867 is a deficient number, since it is larger than the sum of its proper divisors (16677).

33867 is a wasteful number, since it uses less digits than its factorization.

33867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 127 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 33867 is about 184.0298888768. The cubic root of 33867 is about 32.3538208155.

It can be divided in two parts, 33 and 867, that added together give a square (900 = 30²).

The spelling of 33867 in words is "thirty-three thousand, eight hundred sixty-seven".