193825 has 6 divisors (see below), whose sum is σ = 240374. Its totient is φ = 155040.

The previous prime is 193813. The next prime is 193841. The reversal of 193825 is 528391.

193825 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 3 ways, for example, as 63504 + 130321 = 252^2 + 361^2 .

It is not a de Polignac number, because 193825 - 2⁵ = 193793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193793 and 193802.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3852 + ... + 3901.

2¹⁹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

193825 is a deficient number, since it is larger than the sum of its proper divisors (46549).

193825 is an equidigital number, since it uses as much as digits as its factorization.

193825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7758 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 193825 is about 440.2556075736. The cubic root of 193825 is about 57.8721918163.

It can be divided in two parts, 19 and 3825, that added together give a square (3844 = 62²).

The spelling of 193825 in words is "one hundred ninety-three thousand, eight hundred twenty-five".