684607225 has 9 divisors (see below), whose sum is σ = 849075213. Its totient is φ = 547581120.

The previous prime is 684607219. The next prime is 684607229. The reversal of 684607225 is 522706486.

The square root of 684607225 is 26165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 129345129 + 555262096 = 11373^2 + 23564^2 .

It is not a de Polignac number, because 684607225 - 2¹⁷ = 684476153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (684607229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128209 + ... + 133441.

Almost surely, 2^684607225 is an apocalyptic number.

684607225 is the 26165-th square number.

684607225 is the 13083-rd centered octagonal number.

It is an amenable number.

684607225 is a deficient number, since it is larger than the sum of its proper divisors (164467988).

684607225 is an frugal number, since it uses more digits than its factorization.

684607225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10476 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The cubic root of 684607225 is about 881.3474643640.

The spelling of 684607225 in words is "six hundred eighty-four million, six hundred seven thousand, two hundred twenty-five".