10672821 has 24 divisors (see below), whose sum is σ = 16548480. Its totient is φ = 6604416.

The previous prime is 10672817. The next prime is 10672829. The reversal of 10672821 is 12827601.

It is not a de Polignac number, because 10672821 - 2² = 10672817 is a prime.

It is a super-2 number, since 2×10672821² = 227818216196082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11646 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (689520).

Almost surely, 2^10672821 is an apocalyptic number.

It is an amenable number.

10672821 is a deficient number, since it is larger than the sum of its proper divisors (5875659).

10672821 is a wasteful number, since it uses less digits than its factorization.

10672821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10672821 is about 3266.9283738705. The cubic root of 10672821 is about 220.1708108721.

It can be divided in two parts, 106 and 72821, that added together give a palindrome (72927).

The spelling of 10672821 in words is "ten million, six hundred seventy-two thousand, eight hundred twenty-one".