13958163 has 28 divisors (see below), whose sum is σ = 21484008. Its totient is φ = 9059040.

The previous prime is 13958149. The next prime is 13958209. The reversal of 13958163 is 36185931.

It is a happy number.

13958163 is a `hidden beast` number, since 13 + 9 + 581 + 63 = 666.

It is not a de Polignac number, because 13958163 - 2¹⁸ = 13696019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13958143) 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 27 ways as a sum of consecutive naturals, for example, 29656 + ... + 30122.

It is an arithmetic number, because the mean of its divisors is an integer number (767286).

Almost surely, 2^13958163 is an apocalyptic number.

13958163 is a deficient number, since it is larger than the sum of its proper divisors (7525845).

13958163 is an frugal number, since it uses more digits than its factorization.

13958163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13958163 is about 3736.0624994772. The cubic root of 13958163 is about 240.7739080109.

The spelling of 13958163 in words is "thirteen million, nine hundred fifty-eight thousand, one hundred sixty-three".