314200521 has 12 divisors (see below), whose sum is σ = 454018500. Its totient is φ = 209387040.

The previous prime is 314200427. The next prime is 314200553. The reversal of 314200521 is 125002413.

314200521 is a `hidden beast` number, since 3 + 142 + 0 + 0 + 521 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165482496 + 148718025 = 12864^2 + 12195^2 .

It is not a de Polignac number, because 314200521 - 2⁹ = 314200009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314200494 and 314200503.

It is not an unprimeable number, because it can be changed into a prime (314200121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27355 + ... + 37103.

It is an arithmetic number, because the mean of its divisors is an integer number (37834875).

Almost surely, 2^314200521 is an apocalyptic number.

It is an amenable number.

314200521 is a deficient number, since it is larger than the sum of its proper divisors (139817979).

314200521 is a wasteful number, since it uses less digits than its factorization.

314200521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314200521 is about 17725.7022709962. The cubic root of 314200521 is about 679.8330912437.

Adding to 314200521 its reverse (125002413), we get a palindrome (439202934).

It can be divided in two parts, 314200 and 521, that added together give a square (314721 = 561²).

The spelling of 314200521 in words is "three hundred fourteen million, two hundred thousand, five hundred twenty-one".