10638261 has 12 divisors (see below), whose sum is σ = 15511392. Its totient is φ = 7025256.

The previous prime is 10638241. The next prime is 10638263. The reversal of 10638261 is 16283601.

10638261 is a `hidden beast` number, since 1 + 0 + 638 + 26 + 1 = 666.

10638261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10638261 - 2⁹ = 10637749 is a prime.

It is a super-2 number, since 2×10638261² = 226345194208242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638263) 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, 4561 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (1292616).

Almost surely, 2^10638261 is an apocalyptic number.

It is an amenable number.

10638261 is a deficient number, since it is larger than the sum of its proper divisors (4873131).

10638261 is a wasteful number, since it uses less digits than its factorization.

10638261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11160 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10638261 is about 3261.6347128396. The cubic root of 10638261 is about 219.9329065378.

The spelling of 10638261 in words is "ten million, six hundred thirty-eight thousand, two hundred sixty-one".