10405871 has 16 divisors (see below), whose sum is σ = 12300288. Its totient is φ = 8618400.

The previous prime is 10405799. The next prime is 10405873. The reversal of 10405871 is 17850401.

10405871 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10405871 - 2¹⁰ = 10404847 is a prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 10405871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54386 + ... + 54576.

It is an arithmetic number, because the mean of its divisors is an integer number (768768).

Almost surely, 2^10405871 is an apocalyptic number.

10405871 is a deficient number, since it is larger than the sum of its proper divisors (1894417).

10405871 is a wasteful number, since it uses less digits than its factorization.

10405871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 10405871 is about 3225.8132307993. The cubic root of 10405871 is about 218.3196430370.

The spelling of 10405871 in words is "ten million, four hundred five thousand, eight hundred seventy-one".