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3331 is a prime number
BaseRepresentation
bin110100000011
311120101
4310003
5101311
623231
712466
oct6403
94511
103331
112559
121b17
131693
1412dd
15ec1
hexd03

3331 has 2 divisors, whose sum is σ = 3332. Its totient is φ = 3330.

The previous prime is 3329. The next prime is 3343. The reversal of 3331 is 1333.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3331 - 21 = 3329 is a prime.

It is a super-2 number, since 2×33312 = 22191122, which contains 22 as substring.

Together with 3329, it forms a pair of twin primes.

It is a plaindrome in base 7, base 11 and base 14.

It is a nialpdrome in base 10 and base 15.

It is not a weakly prime, because it can be changed into another prime (3301) 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 as a sum of consecutive naturals, namely, 1665 + 1666.

It is an arithmetic number, because the mean of its divisors is an integer number (1666).

23331 is an apocalyptic number.

3331 is the 37-th centered pentagonal number.

3331 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331 is an equidigital number, since it uses as much as digits as its factorization.

3331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27, while the sum is 10.

The square root of 3331 is about 57.7148161220. The cubic root of 3331 is about 14.9345294712.

The spelling of 3331 in words is "three thousand, three hundred thirty-one".