13004082 has 96 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3220992.

The previous prime is 13004081. The next prime is 13004083. The reversal of 13004082 is 28040031.

It is a happy number.

13004082 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 (13004081) and next prime (13004083).

It is a super-2 number, since 2×13004082² = 338212297325448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13004081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27613 + ... + 28079.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

Almost surely, 2^13004082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

13004082 is an abundant number, since it is smaller than the sum of its proper divisors (23791950).

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

13004082 is a wasteful number, since it uses less digits than its factorization.

13004082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13004082 is about 3606.1173025846. The cubic root of 13004082 is about 235.1580768330.

The spelling of 13004082 in words is "thirteen million, four thousand, eighty-two".