Search a number
-
+
31247 is a prime number
BaseRepresentation
bin111101000001111
31120212022
413220033
51444442
6400355
7160046
oct75017
946768
1031247
1121527
12160bb
13112b8
14b55d
1593d2
hex7a0f

31247 has 2 divisors, whose sum is σ = 31248. Its totient is φ = 31246.

The previous prime is 31237. The next prime is 31249. The reversal of 31247 is 74213.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31247 - 24 = 31231 is a prime.

Together with 31249, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31247.

It is not a weakly prime, because it can be changed into another prime (31249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15623 + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

231247 is an apocalyptic number.

31247 is a deficient number, since it is larger than the sum of its proper divisors (1).

31247 is an equidigital number, since it uses as much as digits as its factorization.

31247 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 17.

The square root of 31247 is about 176.7682098116. The cubic root of 31247 is about 31.4970182783.

It can be divided in two parts, 3 and 1247, that multiplied together give a triangular number (3741 = T86).

The spelling of 31247 in words is "thirty-one thousand, two hundred forty-seven".