9734805604225 has 81 divisors (see below), whose sum is σ = 13670706453033. Its totient is φ = 6872929103040.

The previous prime is 9734805604213. The next prime is 9734805604261. The reversal of 9734805604225 is 5224065084379.

It is a happy number.

The square root of 9734805604225 is 3120065.

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 2509160545089 + 7225645059136 = 1584033^2 + 2688056^2 .

It is not a de Polignac number, because 9734805604225 - 2¹⁵ = 9734805571457 is a prime.

It is a Duffinian number.

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, 4664496132 + ... + 4664498218.

Almost surely, 2^{9734805604225} is an apocalyptic number.

9734805604225 is the 3120065-th square number.

9734805604225 is the 1560033-rd centered octagonal number.

It is an amenable number.

9734805604225 is a deficient number, since it is larger than the sum of its proper divisors (3935900848808).

9734805604225 is an equidigital number, since it uses as much as digits as its factorization.

9734805604225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 9734805604225 in words is "nine trillion, seven hundred thirty-four billion, eight hundred five million, six hundred four thousand, two hundred twenty-five".