312225 has 24 divisors (see below), whose sum is σ = 541632. Its totient is φ = 158400.

The previous prime is 312217. The next prime is 312229. The reversal of 312225 is 522213.

It is not a de Polignac number, because 312225 - 2³ = 312217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2³¹²²²⁵ is an apocalyptic number.

It is an amenable number.

312225 is a deficient number, since it is larger than the sum of its proper divisors (229407).

312225 is a wasteful number, since it uses less digits than its factorization.

312225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 312225 is about 558.7709727608. The cubic root of 312225 is about 67.8405288438.

Adding to 312225 its reverse (522213), we get a palindrome (834438).

The spelling of 312225 in words is "three hundred twelve thousand, two hundred twenty-five".