195966 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 61560.

The previous prime is 195931. The next prime is 195967. The reversal of 195966 is 669591.

It is a self number, because there is not a number n which added to its sum of digits gives 195966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹⁹⁵⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

195966 is an abundant number, since it is smaller than the sum of its proper divisors (264834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

195966 is a wasteful number, since it uses less digits than its factorization.

195966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 195966 is about 442.6804716723. The cubic root of 195966 is about 58.0844983197.

It can be divided in two parts, 1959 and 66, that added together give a square (2025 = 45²).

The spelling of 195966 in words is "one hundred ninety-five thousand, nine hundred sixty-six".