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33331 is a prime number
BaseRepresentation
bin1000001000110011
31200201111
420020303
52031311
6414151
7166114
oct101063
950644
1033331
1123051
1217357
131222c
14c20b
159d21
hex8233

33331 has 2 divisors, whose sum is σ = 33332. Its totient is φ = 33330.

The previous prime is 33329. The next prime is 33343. The reversal of 33331 is 13333.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33331 - 21 = 33329 is a prime.

It is a super-2 number, since 2×333312 = 2221911122, which contains 22 as substring.

Together with 33329, it forms a pair of twin primes.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (33301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16665 + 16666.

It is an arithmetic number, because the mean of its divisors is an integer number (16666).

233331 is an apocalyptic number.

33331 is a deficient number, since it is larger than the sum of its proper divisors (1).

33331 is an equidigital number, since it uses as much as digits as its factorization.

33331 is an evil number, because the sum of its binary digits is even.

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

The square root of 33331 is about 182.5677956267. The cubic root of 33331 is about 32.1822285331.

Adding to 33331 its reverse (13333), we get a palindrome (46664).

The spelling of 33331 in words is "thirty-three thousand, three hundred thirty-one".