10627825 has 24 divisors (see below), whose sum is σ = 14483448. Its totient is φ = 7687680.

The previous prime is 10627811. The next prime is 10627831. The reversal of 10627825 is 52872601.

It can be written as a sum of positive squares in 12 ways, for example, as 6754801 + 3873024 = 2599^2 + 1968^2 .

It is not a de Polignac number, because 10627825 - 2⁷ = 10627697 is a prime.

It is a super-2 number, since 2×10627825² = 225901328461250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

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, 16917 + ... + 17533.

It is an arithmetic number, because the mean of its divisors is an integer number (603477).

Almost surely, 2^10627825 is an apocalyptic number.

It is an amenable number.

10627825 is a deficient number, since it is larger than the sum of its proper divisors (3855623).

10627825 is a wasteful number, since it uses less digits than its factorization.

10627825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10627825 is about 3260.0345090198. The cubic root of 10627825 is about 219.8609658717.

The spelling of 10627825 in words is "ten million, six hundred twenty-seven thousand, eight hundred twenty-five".