312225732 has 96 divisors (see below), whose sum is σ = 996307200. Its totient is φ = 82342656.

The previous prime is 312225731. The next prime is 312225733. The reversal of 312225732 is 237522213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312225731) and next prime (312225733).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312225696 and 312225705.

It is not an unprimeable number, because it can be changed into a prime (312225731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6057 + ... + 25712.

It is an arithmetic number, because the mean of its divisors is an integer number (10378200).

Almost surely, 2^312225732 is an apocalyptic number.

It is an amenable number.

312225732 is an abundant number, since it is smaller than the sum of its proper divisors (684081468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312225732 is a wasteful number, since it uses less digits than its factorization.

312225732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31802 (or 31794 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 312225732 is about 17669.9103563091. The cubic root of 312225732 is about 678.4058186031.

Adding to 312225732 its reverse (237522213), we get a palindrome (549747945).

It can be divided in two parts, 3122257 and 32, that added together give a square (3122289 = 1767²).

The spelling of 312225732 in words is "three hundred twelve million, two hundred twenty-five thousand, seven hundred thirty-two".