314513300 has 18 divisors (see below), whose sum is σ = 682494078. Its totient is φ = 125805280.

The previous prime is 314513263. The next prime is 314513317. The reversal of 314513300 is 3315413.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4682896 + 309830404 = 2164^2 + 17602^2 .

It is a super-3 number, since 3×314513300³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1572467 + ... + 1572666.

Almost surely, 2^314513300 is an apocalyptic number.

It is an amenable number.

314513300 is an abundant number, since it is smaller than the sum of its proper divisors (367980778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314513300 is a wasteful number, since it uses less digits than its factorization.

314513300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145147 (or 3145140 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 314513300 is about 17734.5228297803. The cubic root of 314513300 is about 680.0586022160.

Adding to 314513300 its reverse (3315413), we get a palindrome (317828713).

The spelling of 314513300 in words is "three hundred fourteen million, five hundred thirteen thousand, three hundred".