10882671 has 16 divisors (see below), whose sum is σ = 15025920. Its totient is φ = 7001280.

The previous prime is 10882661. The next prime is 10882673. The reversal of 10882671 is 17628801.

It is a happy number.

It is not a de Polignac number, because 10882671 - 2²¹ = 8785519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882673) 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 15 ways as a sum of consecutive naturals, for example, 12240 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (939120).

Almost surely, 2^10882671 is an apocalyptic number.

10882671 is a deficient number, since it is larger than the sum of its proper divisors (4143249).

10882671 is a wasteful number, since it uses less digits than its factorization.

10882671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10882671 is about 3298.8893585569. The cubic root of 10882671 is about 221.6044616630.

The spelling of 10882671 in words is "ten million, eight hundred eighty-two thousand, six hundred seventy-one".