13386312 has 48 divisors (see below), whose sum is σ = 36679500. Its totient is φ = 4409856.

The previous prime is 13386311. The next prime is 13386343. The reversal of 13386312 is 21368331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 34596 = 3654^2 + 186^2 .

It is a super-2 number, since 2×13386312² = 358386697922688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13386311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5364 + ... + 7452.

Almost surely, 2^13386312 is an apocalyptic number.

13386312 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 13386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339750).

13386312 is an abundant number, since it is smaller than the sum of its proper divisors (23293188).

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

13386312 is a wasteful number, since it uses less digits than its factorization.

13386312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13386312 is about 3658.7309275212. The cubic root of 13386312 is about 237.4398710201.

The spelling of 13386312 in words is "thirteen million, three hundred eighty-six thousand, three hundred twelve".