10013967 has 6 divisors (see below), whose sum is σ = 14464632. Its totient is φ = 6675972.

The previous prime is 10013959. The next prime is 10013981. The reversal of 10013967 is 76931001.

10013967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013967 - 2³ = 10013959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10013967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556323 + ... + 556340.

It is an arithmetic number, because the mean of its divisors is an integer number (2410772).

Almost surely, 2^10013967 is an apocalyptic number.

10013967 is a deficient number, since it is larger than the sum of its proper divisors (4450665).

10013967 is a wasteful number, since it uses less digits than its factorization.

10013967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112669 (or 1112666 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10013967 is about 3164.4852662005. The cubic root of 10013967 is about 215.5437256392.

Adding to 10013967 its reverse (76931001), we get a palindrome (86944968).

The spelling of 10013967 in words is "ten million, thirteen thousand, nine hundred sixty-seven".