10823713 has 16 divisors (see below), whose sum is σ = 12002256. Its totient is φ = 9717760.

The previous prime is 10823671. The next prime is 10823719. The reversal of 10823713 is 31732801.

It can be written as a sum of positive squares in 8 ways, for example, as 692224 + 10131489 = 832^2 + 3183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10823713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10823719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36795 + ... + 37087.

It is an arithmetic number, because the mean of its divisors is an integer number (750141).

Almost surely, 2^10823713 is an apocalyptic number.

It is an amenable number.

10823713 is a deficient number, since it is larger than the sum of its proper divisors (1178543).

10823713 is a wasteful number, since it uses less digits than its factorization.

10823713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10823713 is about 3289.9411848846. The cubic root of 10823713 is about 221.2035483998.

The spelling of 10823713 in words is "ten million, eight hundred twenty-three thousand, seven hundred thirteen".