10456985 has 32 divisors (see below), whose sum is σ = 15835392. Its totient is φ = 6439680.

The previous prime is 10456981. The next prime is 10456987. The reversal of 10456985 is 58965401.

10456985 = 970² + 971² + ... + 980².

It is not a de Polignac number, because 10456985 - 2² = 10456981 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10456981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60359 + ... + 60531.

It is an arithmetic number, because the mean of its divisors is an integer number (494856).

Almost surely, 2^10456985 is an apocalyptic number.

It is an amenable number.

10456985 is a deficient number, since it is larger than the sum of its proper divisors (5378407).

10456985 is a wasteful number, since it uses less digits than its factorization.

10456985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 10456985 is about 3233.7261788840. The cubic root of 10456985 is about 218.6765238942.

The spelling of 10456985 in words is "ten million, four hundred fifty-six thousand, nine hundred eighty-five".