132613 has 6 divisors (see below), whose sum is σ = 144242. Its totient is φ = 121200.

The previous prime is 132611. The next prime is 132619. The reversal of 132613 is 316231.

132613 = 257² + 258².

It can be written as a sum of positive squares in 3 ways, for example, as 66049 + 66564 = 257^2 + 258^2 .

It is not a de Polignac number, because 132613 - 2¹ = 132611 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132611) 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 in 5 ways as a sum of consecutive naturals, for example, 1263 + ... + 1363.

2¹³²⁶¹³ is an apocalyptic number.

132613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132613 is the 258-th centered square number.

It is an amenable number.

132613 is a deficient number, since it is larger than the sum of its proper divisors (11629).

132613 is an equidigital number, since it uses as much as digits as its factorization.

132613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 114 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 132613 is about 364.1606788219. The cubic root of 132613 is about 50.9951296131.

Adding to 132613 its reverse (316231), we get a palindrome (448844).

The spelling of 132613 in words is "one hundred thirty-two thousand, six hundred thirteen".