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33141 = 311047
BaseRepresentation
bin1000000101110101
31200110110
420011311
52030031
6413233
7165423
oct100565
950413
1033141
1122999
1217219
1312114
14c113
159c46
hex8175

33141 has 4 divisors (see below), whose sum is σ = 44192. Its totient is φ = 22092.

The previous prime is 33119. The next prime is 33149. The reversal of 33141 is 14133.

Adding to 33141 its sum of digits (12), we get a triangular number (33153 = T257).

Adding to 33141 its reverse (14133), we get a palindrome (47274).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 33141 - 27 = 33013 is a prime.

It is a D-number.

It is a Duffinian number.

33141 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

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 33141.

It is not an unprimeable number, because it can be changed into a prime (33149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5521 + ... + 5526.

It is an arithmetic number, because the mean of its divisors is an integer number (11048).

233141 is an apocalyptic number.

It is an amenable number.

33141 is a deficient number, since it is larger than the sum of its proper divisors (11051).

33141 is a wasteful number, since it uses less digits than its factorization.

33141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050.

The product of its digits is 36, while the sum is 12.

The square root of 33141 is about 182.0466973059. The cubic root of 33141 is about 32.1209614549.

The spelling of 33141 in words is "thirty-three thousand, one hundred forty-one".

Divisors: 1 3 11047 33141