13461312 has 28 divisors (see below), whose sum is σ = 35616896. Its totient is φ = 4487040.

The previous prime is 13461289. The next prime is 13461313. The reversal of 13461312 is 21316431.

It is a super-2 number, since 2×13461312² = 362413841522688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461313) 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 3 ways as a sum of consecutive naturals, for example, 34864 + ... + 35247.

It is an arithmetic number, because the mean of its divisors is an integer number (1272032).

Almost surely, 2^13461312 is an apocalyptic number.

13461312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13461312 is an abundant number, since it is smaller than the sum of its proper divisors (22155584).

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

13461312 is an equidigital number, since it uses as much as digits as its factorization.

13461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70126 (or 70116 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 13461312 is about 3668.9660668913. The cubic root of 13461312 is about 237.8824832353.

Adding to 13461312 its reverse (21316431), we get a palindrome (34777743).

The spelling of 13461312 in words is "thirteen million, four hundred sixty-one thousand, three hundred twelve".