10584125 has 8 divisors (see below), whose sum is σ = 13209144. Its totient is φ = 8467200.

The previous prime is 10584107. The next prime is 10584127. The reversal of 10584125 is 52148501.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 10582009 = 46^2 + 3253^2 .

It is not a de Polignac number, because 10584125 - 2⁶ = 10584061 is a prime.

It is a super-2 number, since 2×10584125² = 224047404031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10584094 and 10584103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42212 + ... + 42461.

It is an arithmetic number, because the mean of its divisors is an integer number (1651143).

Almost surely, 2^10584125 is an apocalyptic number.

It is an amenable number.

10584125 is a deficient number, since it is larger than the sum of its proper divisors (2625019).

10584125 is an frugal number, since it uses more digits than its factorization.

10584125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84688 (or 84678 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 10584125 is about 3253.3252219844. The cubic root of 10584125 is about 219.5592069465.

The spelling of 10584125 in words is "ten million, five hundred eighty-four thousand, one hundred twenty-five".