10825821 has 24 divisors (see below), whose sum is σ = 16693560. Its totient is φ = 6736896.

The previous prime is 10825819. The next prime is 10825823. The reversal of 10825821 is 12852801.

10825821 is a `hidden beast` number, since 1 + 0 + 82 + 582 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10825819) and next prime (10825823).

It can be written as a sum of positive squares in 4 ways, for example, as 7901721 + 2924100 = 2811^2 + 1710^2 .

It is not a de Polignac number, because 10825821 - 2¹ = 10825819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825823) 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, 26265 + ... + 26673.

It is an arithmetic number, because the mean of its divisors is an integer number (695565).

Almost surely, 2^10825821 is an apocalyptic number.

It is an amenable number.

10825821 is a deficient number, since it is larger than the sum of its proper divisors (5867739).

10825821 is a wasteful number, since it uses less digits than its factorization.

10825821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10825821 is about 3290.2615397564. The cubic root of 10825821 is about 221.2179078225.

It can be divided in two parts, 1082 and 5821, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 10825821 in words is "ten million, eight hundred twenty-five thousand, eight hundred twenty-one".