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132607 is a prime number
BaseRepresentation
bin100000010111111111
320201220101
4200113333
513220412
62501531
71061416
oct402777
9221811
10132607
11906a2
12648a7
1348487
143647d
1529457
hex205ff

132607 has 2 divisors, whose sum is σ = 132608. Its totient is φ = 132606.

The previous prime is 132589. The next prime is 132611. The reversal of 132607 is 706231.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 132607 - 215 = 99839 is a prime.

It is a Chen prime.

132607 is a lucky number.

It is equal to p12376 and since 132607 and 12376 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132637) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66303 + 66304.

It is an arithmetic number, because the mean of its divisors is an integer number (66304).

2132607 is an apocalyptic number.

132607 is a deficient number, since it is larger than the sum of its proper divisors (1).

132607 is an equidigital number, since it uses as much as digits as its factorization.

132607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 132607 is about 364.1524406070. The cubic root of 132607 is about 50.9943605196.

Subtracting from 132607 its product of nonzero digits (252), we obtain a triangular number (132355 = T514).

Adding to 132607 its reverse (706231), we get a palindrome (838838).

The spelling of 132607 in words is "one hundred thirty-two thousand, six hundred seven".