180225 has 30 divisors (see below), whose sum is σ = 337590. Its totient is φ = 95040.

The previous prime is 180221. The next prime is 180233. The reversal of 180225 is 522081.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 178929 = 36^2 + 423^2 .

It is not a de Polignac number, because 180225 - 2² = 180221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 180198 and 180207.

It is not an unprimeable number, because it can be changed into a prime (180221) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1981 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (11253).

180225 is a Friedman number, since it can be written as 801*225, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 225 ⋅ 801 (with its own digits).

It is a Proth number, since it is equal to 11 ⋅ 2¹⁴ + 1 and 11 < 2¹⁴.

2¹⁸⁰²²⁵ is an apocalyptic number.

180225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180225 is a deficient number, since it is larger than the sum of its proper divisors (157365).

180225 is an equidigital number, since it uses as much as digits as its factorization.

180225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 180225 is about 424.5291509425. The cubic root of 180225 is about 56.4856778379.

The spelling of 180225 in words is "one hundred eighty thousand, two hundred twenty-five".