312897 has 16 divisors (see below), whose sum is σ = 459648. Its totient is φ = 188160.

The previous prime is 312887. The next prime is 312899. The reversal of 312897 is 798213.

It is a happy number.

It is not a de Polignac number, because 312897 - 2¹² = 308801 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312897.

It is not an unprimeable number, because it can be changed into a prime (312899) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2³¹²⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

312897 is a deficient number, since it is larger than the sum of its proper divisors (146751).

312897 is a wasteful number, since it uses less digits than its factorization.

312897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 3024, while the sum is 30.

The square root of 312897 is about 559.3719692655. The cubic root of 312897 is about 67.8891648889.

The spelling of 312897 in words is "three hundred twelve thousand, eight hundred ninety-seven".