10834821 has 12 divisors (see below), whose sum is σ = 16073772. Its totient is φ = 7027776.

The previous prime is 10834801. The next prime is 10834829. The reversal of 10834821 is 12843801.

It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 6890625 = 1986^2 + 2625^2 .

It is not a de Polignac number, because 10834821 - 2⁶ = 10834757 is a prime.

It is a super-2 number, since 2×10834821² = 234786692204082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834829) 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 11 ways as a sum of consecutive naturals, for example, 15936 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (1339481).

Almost surely, 2^10834821 is an apocalyptic number.

It is an amenable number.

10834821 is a deficient number, since it is larger than the sum of its proper divisors (5238951).

10834821 is a wasteful number, since it uses less digits than its factorization.

10834821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32580 (or 32577 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10834821 is about 3291.6289280537. The cubic root of 10834821 is about 221.2791936964.

The spelling of 10834821 in words is "ten million, eight hundred thirty-four thousand, eight hundred twenty-one".