10721823 has 16 divisors (see below), whose sum is σ = 16780800. Its totient is φ = 5960736.

The previous prime is 10721819. The next prime is 10721827. The reversal of 10721823 is 32812701.

10721823 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10721819) and next prime (10721827).

It is not a de Polignac number, because 10721823 - 2² = 10721819 is a prime.

It is a super-2 number, since 2×10721823² = 229914976886658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10721793 and 10721802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721827) 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 15 ways as a sum of consecutive naturals, for example, 6123 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (1048800).

Almost surely, 2^10721823 is an apocalyptic number.

10721823 is a deficient number, since it is larger than the sum of its proper divisors (6058977).

10721823 is a wasteful number, since it uses less digits than its factorization.

10721823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10721823 is about 3274.4194905357. The cubic root of 10721823 is about 220.5072523980.

Multiplying 10721823 by its sum of digits (24), we get a palindrome (257323752).

The spelling of 10721823 in words is "ten million, seven hundred twenty-one thousand, eight hundred twenty-three".