10808973 has 12 divisors (see below), whose sum is σ = 17843488. Its totient is φ = 6176520.

The previous prime is 10808951. The next prime is 10808981. The reversal of 10808973 is 37980801.

It is not a de Polignac number, because 10808973 - 2¹⁰ = 10807949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808983) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 85723 + ... + 85848.

Almost surely, 2^10808973 is an apocalyptic number.

It is an amenable number.

10808973 is a deficient number, since it is larger than the sum of its proper divisors (7034515).

10808973 is a wasteful number, since it uses less digits than its factorization.

10808973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171584 (or 171581 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10808973 is about 3287.7002600602. The cubic root of 10808973 is about 221.1030892961.

It can be divided in two parts, 10808 and 973, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 10808973 in words is "ten million, eight hundred eight thousand, nine hundred seventy-three".