310993 has 4 divisors (see below), whose sum is σ = 312228. Its totient is φ = 309760.

The previous prime is 310987. The next prime is 310997. The reversal of 310993 is 399013.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 399013 = 311 ⋅1283.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 222784 = 297^2 + 472^2 .

It is a cyclic number.

It is not a de Polignac number, because 310993 - 2⁹ = 310481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (310997) 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 3 ways as a sum of consecutive naturals, for example, 88 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (78057).

2³¹⁰⁹⁹³ is an apocalyptic number.

310993 is the 353-rd heptagonal number.

It is an amenable number.

310993 is a deficient number, since it is larger than the sum of its proper divisors (1235).

310993 is an equidigital number, since it uses as much as digits as its factorization.

310993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 310993 is about 557.6674636376. The cubic root of 310993 is about 67.7511811997.

The spelling of 310993 in words is "three hundred ten thousand, nine hundred ninety-three".