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132541 is a prime number
BaseRepresentation
bin100000010110111101
320201210221
4200112331
513220131
62501341
71061263
oct402675
9221727
10132541
1190642
1264851
1348436
1436433
1529411
hex205bd

132541 has 2 divisors, whose sum is σ = 132542. Its totient is φ = 132540.

The previous prime is 132533. The next prime is 132547. The reversal of 132541 is 145231.

132541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 7225 = 354^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 132541 - 23 = 132533 is a prime.

It is equal to p12373 and since 132541 and 12373 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 (132547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66270 + 66271.

It is an arithmetic number, because the mean of its divisors is an integer number (66271).

2132541 is an apocalyptic number.

It is an amenable number.

132541 is a deficient number, since it is larger than the sum of its proper divisors (1).

132541 is an equidigital number, since it uses as much as digits as its factorization.

132541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 16.

The square root of 132541 is about 364.0618079393. The cubic root of 132541 is about 50.9858989594.

Adding to 132541 its reverse (145231), we get a palindrome (277772).

It can be divided in two parts, 13 and 2541, that multiplied together give a palindrome (33033).

The spelling of 132541 in words is "one hundred thirty-two thousand, five hundred forty-one".