132767 has 4 divisors (see below), whose sum is σ = 134160. Its totient is φ = 131376.

The previous prime is 132763. The next prime is 132817. The reversal of 132767 is 767231.

132767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 767231 = 151 ⋅5081.

It is a cyclic number.

It is not a de Polignac number, because 132767 - 2² = 132763 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 (132761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (33540).

2¹³²⁷⁶⁷ is an apocalyptic number.

132767 is a deficient number, since it is larger than the sum of its proper divisors (1393).

132767 is a wasteful number, since it uses less digits than its factorization.

132767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392.

The product of its digits is 1764, while the sum is 26.

The square root of 132767 is about 364.3720625954. The cubic root of 132767 is about 51.0148617459.

Adding to 132767 its reverse (767231), we get a palindrome (899998).

It can be divided in two parts, 1 and 32767, that added together give a 15-th power (32768 = 2¹⁵).

The spelling of 132767 in words is "one hundred thirty-two thousand, seven hundred sixty-seven".