10406581 has 2 divisors, whose sum is σ = 10406582. Its totient is φ = 10406580.

The previous prime is 10406573. The next prime is 10406587. The reversal of 10406581 is 18560401.

10406581 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10297681 + 108900 = 3209^2 + 330^2 .

It is an emirp because it is prime and its reverse (18560401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10406581 - 2³ = 10406573 is a prime.

It is a super-2 number, since 2×10406581² = 216593856219122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203290 + 5203291.

It is an arithmetic number, because the mean of its divisors is an integer number (5203291).

Almost surely, 2^10406581 is an apocalyptic number.

It is an amenable number.

10406581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406581 is an equidigital number, since it uses as much as digits as its factorization.

10406581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10406581 is about 3225.9232786909. The cubic root of 10406581 is about 218.3246082924.

Adding to 10406581 its reverse (18560401), we get a palindrome (28966982).

The spelling of 10406581 in words is "ten million, four hundred six thousand, five hundred eighty-one".