10827873 has 36 divisors (see below), whose sum is σ = 18649488. Its totient is φ = 6032880.

The previous prime is 10827851. The next prime is 10827877. The reversal of 10827873 is 37872801.

It is not a de Polignac number, because 10827873 - 2⁶ = 10827809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10827877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18678 + ... + 19248.

Almost surely, 2^10827873 is an apocalyptic number.

It is an amenable number.

10827873 is a deficient number, since it is larger than the sum of its proper divisors (7821615).

10827873 is a wasteful number, since it uses less digits than its factorization.

10827873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 10827873 is about 3290.5733542956. The cubic root of 10827873 is about 221.2318839902.

The spelling of 10827873 in words is "ten million, eight hundred twenty-seven thousand, eight hundred seventy-three".