13085712 has 100 divisors (see below), whose sum is σ = 39610560. Its totient is φ = 4162752.

The previous prime is 13085707. The next prime is 13085713. The reversal of 13085712 is 21758031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13085713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29589 + ... + 30027.

Almost surely, 2^13085712 is an apocalyptic number.

13085712 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 13085712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805280).

13085712 is an abundant number, since it is smaller than the sum of its proper divisors (26524848).

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

13085712 is a wasteful number, since it uses less digits than its factorization.

13085712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13085712 is about 3617.4178636149. The cubic root of 13085712 is about 235.6491002749.

The spelling of 13085712 in words is "thirteen million, eighty-five thousand, seven hundred twelve".