10167887 has 12 divisors (see below), whose sum is σ = 10919376. Its totient is φ = 9465600.

The previous prime is 10167881. The next prime is 10167917. The reversal of 10167887 is 78876101.

It is not a de Polignac number, because 10167887 - 2¹⁴ = 10151503 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10167887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10167881) 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, 43523 + ... + 43755.

It is an arithmetic number, because the mean of its divisors is an integer number (909948).

Almost surely, 2^10167887 is an apocalyptic number.

10167887 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10167887 is a deficient number, since it is larger than the sum of its proper divisors (751489).

10167887 is a wasteful number, since it uses less digits than its factorization.

10167887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 10167887 is about 3188.7124360782. The cubic root of 10167887 is about 216.6424559404.

The spelling of 10167887 in words is "ten million, one hundred sixty-seven thousand, eight hundred eighty-seven".