9780905 has 16 divisors (see below), whose sum is σ = 12048384. Its totient is φ = 7620480.

The previous prime is 9780893. The next prime is 9780931. The reversal of 9780905 is 5090879.

It is not a de Polignac number, because 9780905 - 2¹⁰ = 9779881 is a prime.

It is a super-2 number, since 2×9780905² = 191332205238050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46250 + ... + 46460.

It is an arithmetic number, because the mean of its divisors is an integer number (753024).

Almost surely, 2^9780905 is an apocalyptic number.

It is an amenable number.

9780905 is a deficient number, since it is larger than the sum of its proper divisors (2267479).

9780905 is a wasteful number, since it uses less digits than its factorization.

9780905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 9780905 is about 3127.4438444199. The cubic root of 9780905 is about 213.8584165530.

The spelling of 9780905 in words is "nine million, seven hundred eighty thousand, nine hundred five".