312006 has 16 divisors (see below), whose sum is σ = 630000. Its totient is φ = 103008.

The previous prime is 311981. The next prime is 312007. The reversal of 312006 is 600213.

It is a junction number, because it is equal to n+sod(n) for n = 311982 and 312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2³¹²⁰⁰⁶ is an apocalyptic number.

312006 is an abundant number, since it is smaller than the sum of its proper divisors (317994).

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

312006 is a wasteful number, since it uses less digits than its factorization.

312006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312006 is about 558.5749725865. The cubic root of 312006 is about 67.8246636282.

Adding to 312006 its reverse (600213), we get a palindrome (912219).

The spelling of 312006 in words is "three hundred twelve thousand, six".