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132257 is a prime number
BaseRepresentation
bin100000010010100001
320201102102
4200102201
513213012
62500145
71060406
oct402241
9221372
10132257
1190404
1264655
1348278
14362ad
15292c2
hex204a1

132257 has 2 divisors, whose sum is σ = 132258. Its totient is φ = 132256.

The previous prime is 132247. The next prime is 132263. The reversal of 132257 is 752231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130321 + 1936 = 361^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 132257 - 24 = 132241 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132257.

It is not a weakly prime, because it can be changed into another prime (132247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66128 + 66129.

It is an arithmetic number, because the mean of its divisors is an integer number (66129).

2132257 is an apocalyptic number.

It is an amenable number.

132257 is a deficient number, since it is larger than the sum of its proper divisors (1).

132257 is an equidigital number, since it uses as much as digits as its factorization.

132257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 132257 is about 363.6715551153. The cubic root of 132257 is about 50.9494565255.

Adding to 132257 its reverse (752231), we get a palindrome (884488).

The spelling of 132257 in words is "one hundred thirty-two thousand, two hundred fifty-seven".