10580985 has 24 divisors (see below), whose sum is σ = 18597384. Its totient is φ = 5564160.

The previous prime is 10580971. The next prime is 10581031. The reversal of 10580985 is 58908501.

It can be written as a sum of positive squares in 4 ways, for example, as 2424249 + 8156736 = 1557^2 + 2856^2 .

It is not a de Polignac number, because 10580985 - 2⁸ = 10580729 is a prime.

It is a super-2 number, since 2×10580985² = 223914487140450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (774891).

Almost surely, 2^10580985 is an apocalyptic number.

10580985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10580985 is a deficient number, since it is larger than the sum of its proper divisors (8016399).

10580985 is a wasteful number, since it uses less digits than its factorization.

10580985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 10580985 is about 3252.8426030166. The cubic root of 10580985 is about 219.5374925362.

The spelling of 10580985 in words is "ten million, five hundred eighty thousand, nine hundred eighty-five".