132977 has 8 divisors (see below), whose sum is σ = 146664. Its totient is φ = 119808.

The previous prime is 132971. The next prime is 132989. The reversal of 132977 is 779231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 128881 = 64^2 + 359^2 .

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

It is not a de Polignac number, because 132977 - 2⁴ = 132961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (18333).

2¹³²⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

132977 is a deficient number, since it is larger than the sum of its proper divisors (13687).

132977 is a wasteful number, since it uses less digits than its factorization.

132977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 2646, while the sum is 29.

The square root of 132977 is about 364.6601157242. The cubic root of 132977 is about 51.0417446248.

The spelling of 132977 in words is "one hundred thirty-two thousand, nine hundred seventy-seven".