13964167 has 24 divisors (see below), whose sum is σ = 17400960. Its totient is φ = 11148480.

The previous prime is 13964161. The next prime is 13964173. The reversal of 13964167 is 76146931.

13964167 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 an interprime number because it is at equal distance from previous prime (13964161) and next prime (13964173).

It is not a de Polignac number, because 13964167 - 2¹¹ = 13962119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13964161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43893 + ... + 44209.

It is an arithmetic number, because the mean of its divisors is an integer number (725040).

Almost surely, 2^13964167 is an apocalyptic number.

13964167 is a deficient number, since it is larger than the sum of its proper divisors (3436793).

13964167 is a wasteful number, since it uses less digits than its factorization.

13964167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 13964167 is about 3736.8659328373. The cubic root of 13964167 is about 240.8084254308.

The spelling of 13964167 in words is "thirteen million, nine hundred sixty-four thousand, one hundred sixty-seven".