10830681 has 9 divisors (see below), whose sum is σ = 15658591. Its totient is φ = 7213872.

The previous prime is 10830679. The next prime is 10830691. The reversal of 10830681 is 18603801.

The square root of 10830681 is 3291.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3080025 + 7750656 = 1755^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10830681 - 2¹ = 10830679 is a prime.

It is a super-2 number, since 2×10830681² = 234607301847522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10830641) 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 8 ways as a sum of consecutive naturals, for example, 9325 + ... + 10421.

Almost surely, 2^10830681 is an apocalyptic number.

10830681 is the 3291-st square number.

10830681 is the 1646-th centered octagonal number.

It is an amenable number.

10830681 is a deficient number, since it is larger than the sum of its proper divisors (4827910).

10830681 is an frugal number, since it uses more digits than its factorization.

10830681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 10830681 is about 221.2510064112.

It can be divided in two parts, 10830 and 681, that added together give a palindrome (11511).

The spelling of 10830681 in words is "ten million, eight hundred thirty thousand, six hundred eighty-one".