13816971 has 72 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 6967296.

The previous prime is 13816969. The next prime is 13816973. The reversal of 13816971 is 17961831.

13816971 is digitally balanced in base 2 and base 4, 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 (13816969) and next prime (13816973).

It is not a de Polignac number, because 13816971 - 2¹ = 13816969 is a prime.

It is a super-3 number, since 3×13816971³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13816973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142395 + ... + 142491.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^13816971 is an apocalyptic number.

13816971 is a deficient number, since it is larger than the sum of its proper divisors (12325509).

13816971 is a wasteful number, since it uses less digits than its factorization.

13816971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 13816971 is about 3717.1186421743. The cubic root of 13816971 is about 239.9593160204.

The spelling of 13816971 in words is "thirteen million, eight hundred sixteen thousand, nine hundred seventy-one".