312268 has 24 divisors (see below), whose sum is σ = 612864. Its totient is φ = 138000.

The previous prime is 312253. The next prime is 312269. The reversal of 312268 is 862213.

It is a super-2 number, since 2×312268² = 195022607648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 3⁷ + 1 + 2⁸ + 2¹⁰ + 6⁶ + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (312269) 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, 1993 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2³¹²²⁶⁸ is an apocalyptic number.

It is an amenable number.

312268 is a deficient number, since it is larger than the sum of its proper divisors (300596).

312268 is a wasteful number, since it uses less digits than its factorization.

312268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 312268 is about 558.8094487390. The cubic root of 312268 is about 67.8436430604.

Subtracting 312268 from its reverse (862213), we obtain a palindrome (549945).

The spelling of 312268 in words is "three hundred twelve thousand, two hundred sixty-eight".