180825 has 12 divisors (see below), whose sum is σ = 299088. Its totient is φ = 96400.

The previous prime is 180811. The next prime is 180847. The reversal of 180825 is 528081.

It is not a de Polignac number, because 180825 - 2⁵ = 180793 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 180795 and 180804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (24924).

2¹⁸⁰⁸²⁵ is an apocalyptic number.

180825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180825 is a deficient number, since it is larger than the sum of its proper divisors (118263).

180825 is a wasteful number, since it uses less digits than its factorization.

180825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 180825 is about 425.2352290204. The cubic root of 180825 is about 56.5482919148.

The spelling of 180825 in words is "one hundred eighty thousand, eight hundred twenty-five".