303963 has 16 divisors (see below), whose sum is σ = 452352. Its totient is φ = 180000.

The previous prime is 303959. The next prime is 303983. The reversal of 303963 is 369303.

It is not a de Polignac number, because 303963 - 2² = 303959 is a prime.

303963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (303983) 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, 1938 + ... + 2088.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2³⁰³⁹⁶³ is an apocalyptic number.

303963 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

303963 is a deficient number, since it is larger than the sum of its proper divisors (148389).

303963 is a wasteful number, since it uses less digits than its factorization.

303963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 303963 is about 551.3283957860. The cubic root of 303963 is about 67.2367801067.

It can be divided in two parts, 30 and 3963, that added together give a palindrome (3993).

The spelling of 303963 in words is "three hundred three thousand, nine hundred sixty-three".