304993 has 8 divisors (see below), whose sum is σ = 340200. Its totient is φ = 271488.

The previous prime is 304981. The next prime is 305017. The reversal of 304993 is 399403.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 253009 = 228^2 + 503^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 304993 - 2⁵ = 304961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (304903) 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, 28 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2³⁰⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

304993 is a deficient number, since it is larger than the sum of its proper divisors (35207).

304993 is a wasteful number, since it uses less digits than its factorization.

304993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 304993 is about 552.2617133208. The cubic root of 304993 is about 67.3126400047.

The spelling of 304993 in words is "three hundred four thousand, nine hundred ninety-three".