10838261 has 12 divisors (see below), whose sum is σ = 12662892. Its totient is φ = 9249408.

The previous prime is 10838249. The next prime is 10838281. The reversal of 10838261 is 16283801.

10838261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6280036 + 4558225 = 2506^2 + 2135^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10838261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17981 + ... + 18573.

It is an arithmetic number, because the mean of its divisors is an integer number (1055241).

Almost surely, 2^10838261 is an apocalyptic number.

It is an amenable number.

10838261 is a deficient number, since it is larger than the sum of its proper divisors (1824631).

10838261 is an equidigital number, since it uses as much as digits as its factorization.

10838261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10838261 is about 3292.1514242209. The cubic root of 10838261 is about 221.3026095541.

The spelling of 10838261 in words is "ten million, eight hundred thirty-eight thousand, two hundred sixty-one".