193896 has 24 divisors (see below), whose sum is σ = 525330. Its totient is φ = 64608.

The previous prime is 193891. The next prime is 193937. The reversal of 193896 is 698391.

193896 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 only one way, i.e., 171396 + 22500 = 414^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 193896.

It is not an unprimeable number, because it can be changed into a prime (193891) by changing a digit.

193896 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 5 ways as a sum of consecutive naturals, for example, 1275 + ... + 1418.

2¹⁹³⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

193896 is an abundant number, since it is smaller than the sum of its proper divisors (331434).

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

193896 is a wasteful number, since it uses less digits than its factorization.

193896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2698 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 193896 is about 440.3362351658. The cubic root of 193896 is about 57.8792573376.

It can be divided in two parts, 193 and 896, that added together give a square (1089 = 33²).

The spelling of 193896 in words is "one hundred ninety-three thousand, eight hundred ninety-six".