13985352 has 32 divisors (see below), whose sum is σ = 38848800. Its totient is φ = 4661712.

The previous prime is 13985351. The next prime is 13985353. The reversal of 13985352 is 25358931.

It is an interprime number because it is at equal distance from previous prime (13985351) and next prime (13985353).

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

It is not an unprimeable number, because it can be changed into a prime (13985351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32158 + ... + 32589.

It is an arithmetic number, because the mean of its divisors is an integer number (1214025).

Almost surely, 2^13985352 is an apocalyptic number.

13985352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13985352 is an abundant number, since it is smaller than the sum of its proper divisors (24863448).

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

13985352 is a wasteful number, since it uses less digits than its factorization.

13985352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64762 (or 64752 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 13985352 is about 3739.6994531647. The cubic root of 13985352 is about 240.9301405041.

It can be divided in two parts, 139 and 85352, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 13985352 in words is "thirteen million, nine hundred eighty-five thousand, three hundred fifty-two".