303993 has 16 divisors (see below), whose sum is σ = 459200. Its totient is φ = 201204.

The previous prime is 303983. The next prime is 303997. The reversal of 303993 is 399303.

It is not a de Polignac number, because 303993 - 2¹⁰ = 302969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3⁷ + 0 + 9⁴ + 3¹⁰ + 9⁵ + 3¹¹ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (303997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (28700).

2³⁰³⁹⁹³ is an apocalyptic number.

It is an amenable number.

303993 is a deficient number, since it is larger than the sum of its proper divisors (155207).

303993 is an frugal number, since it uses more digits than its factorization.

303993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 303993 is about 551.3556021299. The cubic root of 303993 is about 67.2389920393.

It can be divided in two parts, 303 and 993, that added together give a 4-th power (1296 = 6⁴).

The spelling of 303993 in words is "three hundred three thousand, nine hundred ninety-three".