132617 has 8 divisors (see below), whose sum is σ = 145800. Its totient is φ = 120064.

The previous prime is 132611. The next prime is 132619. The reversal of 132617 is 716231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 121801 = 104^2 + 349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132617 - 2⁸ = 132361 is a prime.

It is an Ulam number.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 359 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2¹³²⁶¹⁷ is an apocalyptic number.

132617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132617 is a deficient number, since it is larger than the sum of its proper divisors (13183).

132617 is a wasteful number, since it uses less digits than its factorization.

132617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its digits is 252, while the sum is 20.

The square root of 132617 is about 364.1661708616. The cubic root of 132617 is about 50.9956423292.

Adding to 132617 its reverse (716231), we get a palindrome (848848).

The spelling of 132617 in words is "one hundred thirty-two thousand, six hundred seventeen".