192825 has 18 divisors (see below), whose sum is σ = 345774. Its totient is φ = 102720.

The previous prime is 192817. The next prime is 192833. The reversal of 192825 is 528291.

It is an interprime number because it is at equal distance from previous prime (192817) and next prime (192833).

It can be written as a sum of positive squares in 3 ways, for example, as 45369 + 147456 = 213^2 + 384^2 .

It is not a de Polignac number, because 192825 - 2³ = 192817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 204 + ... + 653.

2¹⁹²⁸²⁵ is an apocalyptic number.

192825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

192825 is a deficient number, since it is larger than the sum of its proper divisors (152949).

192825 is a wasteful number, since it uses less digits than its factorization.

192825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 192825 is about 439.1184350491. The cubic root of 192825 is about 57.7724936270.

It can be divided in two parts, 1928 and 25, that added together give a triangular number (1953 = T₆₂).

The spelling of 192825 in words is "one hundred ninety-two thousand, eight hundred twenty-five".