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31327 is a prime number
BaseRepresentation
bin111101001011111
31120222021
413221133
52000302
6401011
7160222
oct75137
946867
1031327
112159a
1216167
131134a
14b5b9
159437
hex7a5f

31327 has 2 divisors, whose sum is σ = 31328. Its totient is φ = 31326.

The previous prime is 31321. The next prime is 31333. The reversal of 31327 is 72313.

It is a balanced prime because it is at equal distance from previous prime (31321) and next prime (31333).

It is an emirp because it is prime and its reverse (72313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31327 - 23 = 31319 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15663 + 15664.

It is an arithmetic number, because the mean of its divisors is an integer number (15664).

231327 is an apocalyptic number.

31327 is a deficient number, since it is larger than the sum of its proper divisors (1).

31327 is an equidigital number, since it uses as much as digits as its factorization.

31327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 31327 is about 176.9943501923. The cubic root of 31327 is about 31.5238754071.

The spelling of 31327 in words is "thirty-one thousand, three hundred twenty-seven".