195132961 has 9 divisors (see below), whose sum is σ = 199254393. Its totient is φ = 191095920.

The previous prime is 195132937. The next prime is 195132991. The reversal of 195132961 is 169231591.

It is a happy number.

The square root of 195132961 is 13969.

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

195132961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1366561 + 193766400 = 1169^2 + 13920^2 .

It is not a de Polignac number, because 195132961 - 2⁵ = 195132929 is a prime.

It is a super-3 number, since 3×195132961³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 195132961.

It is not an unprimeable number, because it can be changed into a prime (195132911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 851995 + ... + 852223.

It is an arithmetic number, because the mean of its divisors is an integer number (22139377).

Almost surely, 2^195132961 is an apocalyptic number.

195132961 is the 13969-th square number.

195132961 is the 6985-th centered octagonal number.

It is an amenable number.

195132961 is a deficient number, since it is larger than the sum of its proper divisors (4121432).

195132961 is an frugal number, since it uses more digits than its factorization.

195132961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its digits is 14580, while the sum is 37.

The cubic root of 195132961 is about 580.0207691730.

The spelling of 195132961 in words is "one hundred ninety-five million, one hundred thirty-two thousand, nine hundred sixty-one".