132705 has 16 divisors (see below), whose sum is σ = 236160. Its totient is φ = 70704.

The previous prime is 132701. The next prime is 132707. The reversal of 132705 is 507231.

It is not a de Polignac number, because 132705 - 2² = 132701 is a prime.

It is a super-2 number, since 2×132705² = 35221234050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2¹³²⁷⁰⁵ is an apocalyptic number.

132705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132705 is a deficient number, since it is larger than the sum of its proper divisors (103455).

132705 is an equidigital number, since it uses as much as digits as its factorization.

132705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 132705 is about 364.2869747877. The cubic root of 132705 is about 51.0069194764.

Adding to 132705 its reverse (507231), we get a palindrome (639936).

The spelling of 132705 in words is "one hundred thirty-two thousand, seven hundred five".