312705 has 12 divisors (see below), whose sum is σ = 542100. Its totient is φ = 166752.

The previous prime is 312703. The next prime is 312709. The reversal of 312705 is 507213.

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 112896 = 447^2 + 336^2 .

It is not a de Polignac number, because 312705 - 2¹ = 312703 is a prime.

312705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (312701) 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 11 ways as a sum of consecutive naturals, for example, 3430 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (45175).

2³¹²⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

312705 is a deficient number, since it is larger than the sum of its proper divisors (229395).

312705 is a wasteful number, since it uses less digits than its factorization.

312705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 312705 is about 559.2003218883. The cubic root of 312705 is about 67.8752759876.

Adding to 312705 its reverse (507213), we get a palindrome (819918).

The spelling of 312705 in words is "three hundred twelve thousand, seven hundred five".