10906817 has 8 divisors (see below), whose sum is σ = 11698560. Its totient is φ = 10136880.

The previous prime is 10906787. The next prime is 10906829. The reversal of 10906817 is 71860901.

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

It is not a de Polignac number, because 10906817 - 2¹² = 10902721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10906417) 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, 4409 + ... + 6422.

It is an arithmetic number, because the mean of its divisors is an integer number (1462320).

Almost surely, 2^10906817 is an apocalyptic number.

It is an amenable number.

10906817 is a deficient number, since it is larger than the sum of its proper divisors (791743).

10906817 is a wasteful number, since it uses less digits than its factorization.

10906817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 10906817 is about 3302.5470473560. The cubic root of 10906817 is about 221.7682360643.

Subtracting from 10906817 its sum of digits (32), we obtain a triangular number (10906785 = T₄₆₇₀).

The spelling of 10906817 in words is "ten million, nine hundred six thousand, eight hundred seventeen".