314252809 has 8 divisors (see below), whose sum is σ = 343063112. Its totient is φ = 286104960.

The previous prime is 314252791. The next prime is 314252831. The reversal of 314252809 is 908252413.

It can be written as a sum of positive squares in 4 ways, for example, as 68641225 + 245611584 = 8285^2 + 15672^2 .

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 314252809 - 2¹⁵ = 314220041 is a prime.

It is a super-3 number, since 3×314252809³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314252839) 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, 164622 + ... + 166519.

It is an arithmetic number, because the mean of its divisors is an integer number (42882889).

Almost surely, 2^314252809 is an apocalyptic number.

It is an amenable number.

314252809 is a deficient number, since it is larger than the sum of its proper divisors (28810303).

314252809 is a wasteful number, since it uses less digits than its factorization.

314252809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331227.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 314252809 is about 17727.1771300453. The cubic root of 314252809 is about 679.8708008576.

The spelling of 314252809 in words is "three hundred fourteen million, two hundred fifty-two thousand, eight hundred nine".