33987 has 4 divisors (see below), whose sum is σ = 45320. Its totient is φ = 22656.

The previous prime is 33967. The next prime is 33997. The reversal of 33987 is 78933.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 33987 - 2^{6} = 33923 is a prime.

It is a D-number.

It is a Duffinian number.

33987 is a lucky number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 33987.

It is not an unprimeable number, because it can be changed into a prime (33937) 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, 5662 + ... + 5667.

It is an arithmetic number, because the mean of its divisors is an integer number (11330).

2^{33987} is an apocalyptic number.

33987 is a deficient number, since it is larger than the sum of its proper divisors (11333).

33987 is a wasteful number, since it uses less digits than its factorization.

33987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332.

The product of its digits is 4536, while the sum is 30.

The square root of 33987 is about 184.3556345762. The cubic root of 33987 is about 32.3919885694.

The spelling of 33987 in words is "thirty-three thousand, nine hundred eighty-seven".

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