9710825 has 24 divisors (see below), whose sum is σ = 12965688. Its totient is φ = 7188480.

The previous prime is 9710821. The next prime is 9710839. The reversal of 9710825 is 5280179.

9710825 = 2203² + 2204².

It can be written as a sum of positive squares in 12 ways, for example, as 4084441 + 5626384 = 2021^2 + 2372^2 .

It is not a de Polignac number, because 9710825 - 2² = 9710821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9710791 and 9710800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9710821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30869 + ... + 31181.

It is an arithmetic number, because the mean of its divisors is an integer number (540237).

Almost surely, 2^9710825 is an apocalyptic number.

9710825 is the 2204-th centered square number.

It is an amenable number.

9710825 is a deficient number, since it is larger than the sum of its proper divisors (3254863).

9710825 is a wasteful number, since it uses less digits than its factorization.

9710825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 9710825 is about 3116.2196649145. The cubic root of 9710825 is about 213.3464279614.

The spelling of 9710825 in words is "nine million, seven hundred ten thousand, eight hundred twenty-five".