10406417 has 8 divisors (see below), whose sum is σ = 12088512. Its totient is φ = 8773200.

The previous prime is 10406393. The next prime is 10406423. The reversal of 10406417 is 71460401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10406417 - 2¹⁰ = 10405393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10406392 and 10406401.

It is not an unprimeable number, because it can be changed into a prime (10406477) 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 7 ways as a sum of consecutive naturals, for example, 11759 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (1511064).

Almost surely, 2^10406417 is an apocalyptic number.

It is an amenable number.

10406417 is a deficient number, since it is larger than the sum of its proper divisors (1682095).

10406417 is an equidigital number, since it uses as much as digits as its factorization.

10406417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24439.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10406417 is about 3225.8978595114. The cubic root of 10406417 is about 218.3234614084.

Adding to 10406417 its reverse (71460401), we get a palindrome (81866818).

The spelling of 10406417 in words is "ten million, four hundred six thousand, four hundred seventeen".