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33313 = 74759
BaseRepresentation
bin1000001000100001
31200200211
420020201
52031223
6414121
7166060
oct101041
950624
1033313
1123035
1217341
1312217
14c1d7
159d0d
hex8221

33313 has 4 divisors (see below), whose sum is σ = 38080. Its totient is φ = 28548.

The previous prime is 33311. The next prime is 33317. The reversal of 33313 is 31333.

Adding to 33313 its reverse (31333), we get a palindrome (64646).

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 a cyclic number.

It is not a de Polignac number, because 33313 - 21 = 33311 is a prime.

It is a super-2 number, since 2×333132 = 2219511938, which contains 22 as substring.

33313 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 33293 and 33302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33311) 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, 2373 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

233313 is an apocalyptic number.

It is an amenable number.

33313 is a deficient number, since it is larger than the sum of its proper divisors (4767).

33313 is an equidigital number, since it uses as much as digits as its factorization.

33313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766.

The product of its digits is 81, while the sum is 13.

The square root of 33313 is about 182.5184922138. The cubic root of 33313 is about 32.1764342833.

The spelling of 33313 in words is "thirty-three thousand, three hundred thirteen".

Divisors: 1 7 4759 33313