132963961 has 9 divisors (see below), whose sum is σ = 144141231. Its totient is φ = 122597592.

The previous prime is 132963959. The next prime is 132964019. The reversal of 132963961 is 169369231.

The square root of 132963961 is 11531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19669225 + 113294736 = 4435^2 + 10644^2 .

It is not a de Polignac number, because 132963961 - 2¹ = 132963959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132963361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149460 + ... + 150346.

Almost surely, 2^132963961 is an apocalyptic number.

132963961 is the 11531-st square number.

132963961 is the 5766-th centered octagonal number.

It is an amenable number.

132963961 is a deficient number, since it is larger than the sum of its proper divisors (11177270).

132963961 is an frugal number, since it uses more digits than its factorization.

132963961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 900 counting only the distinct ones).

The product of its digits is 52488, while the sum is 40.

The cubic root of 132963961 is about 510.4007627849.

The spelling of 132963961 in words is "one hundred thirty-two million, nine hundred sixty-three thousand, nine hundred sixty-one".