13282016 has 48 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 5959680.

The previous prime is 13281973. The next prime is 13282019. The reversal of 13282016 is 61028231.

It is a junction number, because it is equal to n+sod(n) for n = 13281982 and 13282000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282019) 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, 33950 + ... + 34338.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^13282016 is an apocalyptic number.

13282016 is a gapful number since it is divisible by the number (16) 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 13282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

13282016 is an abundant number, since it is smaller than the sum of its proper divisors (15612304).

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

13282016 is a wasteful number, since it uses less digits than its factorization.

13282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13282016 is about 3644.4500270960. The cubic root of 13282016 is about 236.8216120401.

The spelling of 13282016 in words is "thirteen million, two hundred eighty-two thousand, sixteen".