314704170225 has 81 divisors (see below), whose sum is σ = 569748424609. Its totient is φ = 166051560000.

The previous prime is 314704170211. The next prime is 314704170251. The reversal of 314704170225 is 522071407413.

The square root of 314704170225 is 560985.

It is a perfect power (a square), and thus also a powerful number.

314704170225 is a `hidden beast` number, since 3 + 14 + 7 + 0 + 417 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93924473841 + 220779696384 = 306471^2 + 469872^2 .

It is not a de Polignac number, because 314704170225 - 2⁷ = 314704170097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314704170225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1253801350 + ... + 1253801600.

Almost surely, 2^314704170225 is an apocalyptic number.

314704170225 is the 560985-th square number.

314704170225 is the 280493-rd centered octagonal number.

It is an amenable number.

314704170225 is a deficient number, since it is larger than the sum of its proper divisors (255044254384).

314704170225 is an equidigital number, since it uses as much as digits as its factorization.

314704170225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 314704170225 by its sum of digits (36), we get a square (11329350128100 = 3365910²).

Adding to 314704170225 its reverse (522071407413), we get a palindrome (836775577638).

The spelling of 314704170225 in words is "three hundred fourteen billion, seven hundred four million, one hundred seventy thousand, two hundred twenty-five".