132961 has 2 divisors, whose sum is σ = 132962. Its totient is φ = 132960.

The previous prime is 132953. The next prime is 132967. The reversal of 132961 is 169231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112225 + 20736 = 335^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 132961 - 2³ = 132953 is a prime.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (132967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66480 + 66481.

It is an arithmetic number, because the mean of its divisors is an integer number (66481).

2¹³²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

132961 is a deficient number, since it is larger than the sum of its proper divisors (1).

132961 is an equidigital number, since it uses as much as digits as its factorization.

132961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

The square root of 132961 is about 364.6381768274. The cubic root of 132961 is about 51.0396974019.

The spelling of 132961 in words is "one hundred thirty-two thousand, nine hundred sixty-one".