312819 has 12 divisors (see below), whose sum is σ = 452376. Its totient is φ = 192192.

The previous prime is 312799. The next prime is 312839. The reversal of 312819 is 918213.

It is an interprime number because it is at equal distance from previous prime (312799) and next prime (312839).

It is not a de Polignac number, because 312819 - 2⁸ = 312563 is a prime.

It is a super-3 number, since 3×312819³ = 91833391768947777, which contains 333 as substring. Note that it is a super-d number also for d = 2.

312819 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (312839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (37698).

2³¹²⁸¹⁹ is an apocalyptic number.

312819 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

312819 is a deficient number, since it is larger than the sum of its proper divisors (139557).

312819 is a wasteful number, since it uses less digits than its factorization.

312819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 312819 is about 559.3022438718. The cubic root of 312819 is about 67.8835232082.

It can be divided in two parts, 31 and 2819, that added together give a triangular number (2850 = T₇₅).

The spelling of 312819 in words is "three hundred twelve thousand, eight hundred nineteen".