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33981 = 347241
BaseRepresentation
bin1000010010111101
31201121120
420102331
52041411
6421153
7201033
oct102275
951546
1033981
1123592
12177b9
131260c
14c553
15a106
hex84bd

33981 has 8 divisors (see below), whose sum is σ = 46464. Its totient is φ = 22080.

The previous prime is 33967. The next prime is 33997. The reversal of 33981 is 18933.

33981 is digitally balanced in base 2 and base 4, because in such bases 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 not a de Polignac number, because 33981 - 29 = 33469 is a prime.

It is a super-2 number, since 2×339812 = 2309416722, which contains 22 as substring.

It is a nialpdrome in base 14.

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 33981.

It is not an unprimeable number, because it can be changed into a prime (33911) 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, 21 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (5808).

233981 is an apocalyptic number.

It is an amenable number.

33981 is a deficient number, since it is larger than the sum of its proper divisors (12483).

33981 is a wasteful number, since it uses less digits than its factorization.

33981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its digits is 648, while the sum is 24.

The square root of 33981 is about 184.3393609623. The cubic root of 33981 is about 32.3900823173.

Subtracting from 33981 its product of digits (648), we obtain a palindrome (33333).

The spelling of 33981 in words is "thirty-three thousand, nine hundred eighty-one".

Divisors: 1 3 47 141 241 723 11327 33981