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31307 is a prime number
BaseRepresentation
bin111101001001011
31120221112
413221023
52000212
6400535
7160163
oct75113
946845
1031307
1121581
121614b
1311333
14b5a3
159422
hex7a4b

31307 has 2 divisors, whose sum is σ = 31308. Its totient is φ = 31306.

The previous prime is 31277. The next prime is 31319. The reversal of 31307 is 70313.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (70313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31307 - 28 = 31051 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 31291 and 31300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31307.

It is not a weakly prime, because it can be changed into another prime (31327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15653 + 15654.

It is an arithmetic number, because the mean of its divisors is an integer number (15654).

231307 is an apocalyptic number.

31307 is a deficient number, since it is larger than the sum of its proper divisors (1).

31307 is an equidigital number, since it uses as much as digits as its factorization.

31307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 31307 is about 176.9378421932. The cubic root of 31307 is about 31.5171654154.

The spelling of 31307 in words is "thirty-one thousand, three hundred seven".