33887 has 8 divisors (see below), whose sum is σ = 39936. Its totient is φ = 28152.

The previous prime is 33871. The next prime is 33889. The reversal of 33887 is 78833.

33887 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33887 - 2⁴ = 33871 is a prime.

It is a super-2 number, since 2×33887² = 2296657538, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

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 33887.

It is not an unprimeable number, because it can be changed into a prime (33889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2³³⁸⁸⁷ is an apocalyptic number.

33887 is a deficient number, since it is larger than the sum of its proper divisors (6049).

33887 is a wasteful number, since it uses less digits than its factorization.

33887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its digits is 4032, while the sum is 29.

The square root of 33887 is about 184.0842198560. The cubic root of 33887 is about 32.3601883619.

It can be divided in two parts, 3388 and 7, that multiplied together give a square (23716 = 154²).

The spelling of 33887 in words is "thirty-three thousand, eight hundred eighty-seven".