312712 has 8 divisors (see below), whose sum is σ = 586350. Its totient is φ = 156352.

The previous prime is 312709. The next prime is 312727. The reversal of 312712 is 217213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 27556 = 534^2 + 166^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 19537 + ... + 19552.

2³¹²⁷¹² is an apocalyptic number.

It is an amenable number.

312712 is a deficient number, since it is larger than the sum of its proper divisors (273638).

312712 is a wasteful number, since it uses less digits than its factorization.

312712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39095 (or 39091 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 312712 is about 559.2065807910. The cubic root of 312712 is about 67.8757824536.

Adding to 312712 its reverse (217213), we get a palindrome (529925).

It can be divided in two parts, 312 and 712, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 312712 in words is "three hundred twelve thousand, seven hundred twelve", and thus it is an iban number.