312345 has 24 divisors (see below), whose sum is σ = 591552. Its totient is φ = 151200.

The previous prime is 312343. The next prime is 312349. The reversal of 312345 is 543213.

It is not a de Polignac number, because 312345 - 2¹ = 312343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (24648).

2³¹²³⁴⁵ is an apocalyptic number.

It is an amenable number.

312345 is a deficient number, since it is larger than the sum of its proper divisors (279207).

312345 is a wasteful number, since it uses less digits than its factorization.

312345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 650 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 312345 is about 558.8783409652. The cubic root of 312345 is about 67.8492189666.

Adding to 312345 its reverse (543213), we get a palindrome (855558).

The spelling of 312345 in words is "three hundred twelve thousand, three hundred forty-five".