13882152 has 32 divisors (see below), whose sum is σ = 34800480. Its totient is φ = 4614720.

The previous prime is 13882151. The next prime is 13882153. The reversal of 13882152 is 25128831.

13882152 is digitally balanced in base 2, because in such base 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 (13882151) and next prime (13882153).

It is a super-2 number, since 2×13882152² = 385428288302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13882151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13198 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (1087515).

Almost surely, 2^13882152 is an apocalyptic number.

13882152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13882152 is an abundant number, since it is smaller than the sum of its proper divisors (20918328).

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

13882152 is a wasteful number, since it uses less digits than its factorization.

13882152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1589 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 13882152 is about 3725.8760043780. The cubic root of 13882152 is about 240.3360569985.

The spelling of 13882152 in words is "thirteen million, eight hundred eighty-two thousand, one hundred fifty-two".