193256 has 48 divisors (see below), whose sum is σ = 461700. Its totient is φ = 75264.

The previous prime is 193247. The next prime is 193261. The reversal of 193256 is 652391.

193256 is digitally balanced in base 3, 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 2 ways, for example, as 188356 + 4900 = 434^2 + 70^2 .

It is a d-powerful number, because it can be written as 1 + 9⁵ + 2¹⁷ + 3 + 5⁵ + 6 .

It is an unprimeable number.

193256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6650 + ... + 6678.

2¹⁹³²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230850).

193256 is an abundant number, since it is smaller than the sum of its proper divisors (268444).

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

193256 is a wasteful number, since it uses less digits than its factorization.

193256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 193256 is about 439.6089171070. The cubic root of 193256 is about 57.8155057118.

The spelling of 193256 in words is "one hundred ninety-three thousand, two hundred fifty-six".