314033313 has 16 divisors (see below), whose sum is σ = 459518976. Its totient is φ = 189180240.

The previous prime is 314033297. The next prime is 314033323. The reversal of 314033313 is 313330413.

It is not a de Polignac number, because 314033313 - 2⁴ = 314033297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314033313.

It is not an unprimeable number, because it can be changed into a prime (314033323) 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, 22981 + ... + 34002.

It is an arithmetic number, because the mean of its divisors is an integer number (28719936).

Almost surely, 2^314033313 is an apocalyptic number.

314033313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314033313 is a deficient number, since it is larger than the sum of its proper divisors (145485663).

314033313 is a wasteful number, since it uses less digits than its factorization.

314033313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57164.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 314033313 is about 17720.9851024146. The cubic root of 314033313 is about 679.7124743187.

Adding to 314033313 its reverse (313330413), we get a palindrome (627363726).

It can be divided in two parts, 31403 and 3313, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 314033313 in words is "three hundred fourteen million, thirty-three thousand, three hundred thirteen".