183825 has 36 divisors (see below), whose sum is σ = 354640. Its totient is φ = 90720.

The previous prime is 183823. The next prime is 183829. The reversal of 183825 is 528381.

It is a happy number.

It is not a de Polignac number, because 183825 - 2¹ = 183823 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 183825.

It is not an unprimeable number, because it can be changed into a prime (183823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4254 + ... + 4296.

2¹⁸³⁸²⁵ is an apocalyptic number.

183825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

183825 is a deficient number, since it is larger than the sum of its proper divisors (170815).

183825 is a wasteful number, since it uses less digits than its factorization.

183825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 183825 is about 428.7481778387. The cubic root of 183825 is about 56.8593021121.

Adding to 183825 its product of digits (1920), we get a triangular number (185745 = T₆₀₉).

It can be divided in two parts, 183 and 825, that multiplied together give a triangular number (150975 = T₅₄₉).

The spelling of 183825 in words is "one hundred eighty-three thousand, eight hundred twenty-five".