195364 has 27 divisors (see below), whose sum is σ = 393267. Its totient is φ = 84864.

The previous prime is 195359. The next prime is 195389. The reversal of 195364 is 463591.

195364 = T₄₄₁ + T₄₄₂.

The square root of 195364 is 442.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 193600 = 42^2 + 440^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11484 + ... + 11500.

195364 is a Friedman number, since it can be written as (451-9)^(6/3), using all its digits and the basic arithmetic operations.

2¹⁹⁵³⁶⁴ is an apocalyptic number.

195364 is the 442-nd square number.

It is an amenable number.

195364 is an abundant number, since it is smaller than the sum of its proper divisors (197903).

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

195364 is a wasteful number, since it uses less digits than its factorization.

195364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 32 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The cubic root of 195364 is about 58.0249595309.

The spelling of 195364 in words is "one hundred ninety-five thousand, three hundred sixty-four".