13871952 has 80 divisors (see below), whose sum is σ = 40265280. Its totient is φ = 4572288.

The previous prime is 13871939. The next prime is 13871959. The reversal of 13871952 is 25917831.

13871952 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13871959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70318 + ... + 70514.

It is an arithmetic number, because the mean of its divisors is an integer number (503316).

Almost surely, 2^13871952 is an apocalyptic number.

13871952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640).

13871952 is an abundant number, since it is smaller than the sum of its proper divisors (26393328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13871952 is a wasteful number, since it uses less digits than its factorization.

13871952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13871952 is about 3724.5069472348. The cubic root of 13871952 is about 240.2771797575.

The spelling of 13871952 in words is "thirteen million, eight hundred seventy-one thousand, nine hundred fifty-two".