Search a number
-
+
132005537 is a prime number
BaseRepresentation
bin1111101111000…
…11111010100001
3100012101120112222
413313203322201
5232243134122
621033200425
73162012536
oct767437241
9305346488
10132005537
1168571794
1238260115
132146b5b1
1413762d8d
15b8c7b42
hex7de3ea1

132005537 has 2 divisors, whose sum is σ = 132005538. Its totient is φ = 132005536.

The previous prime is 132005509. The next prime is 132005539. The reversal of 132005537 is 735500231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128504896 + 3500641 = 11336^2 + 1871^2 .

It is a cyclic number.

It is not a de Polignac number, because 132005537 - 26 = 132005473 is a prime.

Together with 132005539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (132005539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66002768 + 66002769.

It is an arithmetic number, because the mean of its divisors is an integer number (66002769).

Almost surely, 2132005537 is an apocalyptic number.

It is an amenable number.

132005537 is a deficient number, since it is larger than the sum of its proper divisors (1).

132005537 is an equidigital number, since it uses as much as digits as its factorization.

132005537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 132005537 is about 11489.3662575444. The cubic root of 132005537 is about 509.1714561667.

Adding to 132005537 its reverse (735500231), we get a palindrome (867505768).

The spelling of 132005537 in words is "one hundred thirty-two million, five thousand, five hundred thirty-seven".