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32117 is a prime number
BaseRepresentation
bin111110101110101
31122001112
413311311
52011432
6404405
7162431
oct76565
948045
1032117
1122148
1216705
1311807
14b9c1
1597b2
hex7d75

32117 has 2 divisors, whose sum is σ = 32118. Its totient is φ = 32116.

The previous prime is 32099. The next prime is 32119. The reversal of 32117 is 71123.

32117 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17956 + 14161 = 134^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 32117 - 214 = 15733 is a prime.

Together with 32119, 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 32117.

It is not a weakly prime, because it can be changed into another prime (32119) 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, 16058 + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (16059).

232117 is an apocalyptic number.

It is an amenable number.

32117 is a deficient number, since it is larger than the sum of its proper divisors (1).

32117 is an equidigital number, since it uses as much as digits as its factorization.

32117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 14.

The square root of 32117 is about 179.2121647657. The cubic root of 32117 is about 31.7866668786.

Adding to 32117 its sum of digits (14), we get a triangular number (32131 = T253).

The spelling of 32117 in words is "thirty-two thousand, one hundred seventeen".