10167993 has 18 divisors (see below), whose sum is σ = 16145402. Its totient is φ = 6161760.

The previous prime is 10167977. The next prime is 10168013. The reversal of 10167993 is 39976101.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 131769 = 3168^2 + 363^2 .

It is not a de Polignac number, because 10167993 - 2⁴ = 10167977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10167923) 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 17 ways as a sum of consecutive naturals, for example, 3580 + ... + 5757.

Almost surely, 2^10167993 is an apocalyptic number.

It is an amenable number.

10167993 is a deficient number, since it is larger than the sum of its proper divisors (5977409).

10167993 is a wasteful number, since it uses less digits than its factorization.

10167993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 10167993 is about 3188.7290571637. The cubic root of 10167993 is about 216.6432087687.

It can be divided in two parts, 1016 and 7993, that added together give a palindrome (9009).

The spelling of 10167993 in words is "ten million, one hundred sixty-seven thousand, nine hundred ninety-three".