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132817 is a prime number
BaseRepresentation
bin100000011011010001
320202012011
4200123101
513222232
62502521
71062136
oct403321
9222164
10132817
1190873
1264a41
13485b9
143658d
1529547
hex206d1

132817 has 2 divisors, whose sum is σ = 132818. Its totient is φ = 132816.

The previous prime is 132763. The next prime is 132833. The reversal of 132817 is 718231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 40401 = 304^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 132817 - 27 = 132689 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (132857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66408 + 66409.

It is an arithmetic number, because the mean of its divisors is an integer number (66409).

2132817 is an apocalyptic number.

It is an amenable number.

132817 is a deficient number, since it is larger than the sum of its proper divisors (1).

132817 is an equidigital number, since it uses as much as digits as its factorization.

132817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 22.

The square root of 132817 is about 364.4406673246. The cubic root of 132817 is about 51.0212650011.

It can be divided in two parts, 132 and 817, that added together give a palindrome (949).

The spelling of 132817 in words is "one hundred thirty-two thousand, eight hundred seventeen".