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33121 = 113011
BaseRepresentation
bin1000000101100001
31200102201
420011201
52024441
6413201
7165364
oct100541
950381
1033121
1122980
1217201
13120ca
14c0db
159c31
hex8161

33121 has 4 divisors (see below), whose sum is σ = 36144. Its totient is φ = 30100.

The previous prime is 33119. The next prime is 33149. The reversal of 33121 is 12133.

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, and also an emirpimes, since its reverse is a distinct semiprime: 12133 = 111103.

It is a cyclic number.

It is not a de Polignac number, because 33121 - 21 = 33119 is a prime.

It is a Duffinian number.

33121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33098 and 33107.

It is not an unprimeable number, because it can be changed into a prime (33151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1495 + ... + 1516.

It is an arithmetic number, because the mean of its divisors is an integer number (9036).

233121 is an apocalyptic number.

It is an amenable number.

33121 is a deficient number, since it is larger than the sum of its proper divisors (3023).

33121 is a wasteful number, since it uses less digits than its factorization.

33121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022.

The product of its digits is 18, while the sum is 10.

The square root of 33121 is about 181.9917580551. The cubic root of 33121 is about 32.1144986797.

Adding to 33121 its reverse (12133), we get a palindrome (45254).

It can be divided in two parts, 33 and 121, that multiplied together give a palindrome (3993).

The spelling of 33121 in words is "thirty-three thousand, one hundred twenty-one".

Divisors: 1 11 3011 33121