10000167 has 8 divisors (see below), whose sum is σ = 13463424. Its totient is φ = 6601848.

The previous prime is 10000141. The next prime is 10000169. The reversal of 10000167 is 76100001.

10000167 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000167 - 2⁶ = 10000103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15873 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 2^10000167 is an apocalyptic number.

10000167 is a deficient number, since it is larger than the sum of its proper divisors (3463257).

10000167 is a wasteful number, since it uses less digits than its factorization.

10000167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32469.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10000167 is about 3162.3040650766. The cubic root of 10000167 is about 215.4446682985. Note that the first 3 decimals are identical.

Adding to 10000167 its reverse (76100001), we get a palindrome (86100168).

The spelling of 10000167 in words is "ten million, one hundred sixty-seven", and thus it is an aban number.