303249 has 8 divisors (see below), whose sum is σ = 406912. Its totient is φ = 200880.

The previous prime is 303217. The next prime is 303257. The reversal of 303249 is 942303.

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

It is not a de Polignac number, because 303249 - 2⁵ = 303217 is a prime.

It is a Duffinian number.

303249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (303299) 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, 627 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (50864).

2³⁰³²⁴⁹ is an apocalyptic number.

It is an amenable number.

303249 is a deficient number, since it is larger than the sum of its proper divisors (103663).

303249 is a wasteful number, since it uses less digits than its factorization.

303249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 303249 is about 550.6804881236. The cubic root of 303249 is about 67.1840931029.

It can be divided in two parts, 3032 and 49, that added together give a triangular number (3081 = T₇₈).

The spelling of 303249 in words is "three hundred three thousand, two hundred forty-nine".