312801 has 8 divisors (see below), whose sum is σ = 420864. Its totient is φ = 206640.

The previous prime is 312799. The next prime is 312839. The reversal of 312801 is 108213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312801 - 2¹ = 312799 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312801.

It is not an unprimeable number, because it can be changed into a prime (312841) 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, 30 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (52608).

2³¹²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

312801 is a deficient number, since it is larger than the sum of its proper divisors (108063).

312801 is a wasteful number, since it uses less digits than its factorization.

312801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 312801 is about 559.2861521618. The cubic root of 312801 is about 67.8822211487.

The spelling of 312801 in words is "three hundred twelve thousand, eight hundred one".