13961412 has 72 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 4374720.

The previous prime is 13961411. The next prime is 13961417. The reversal of 13961412 is 21416931.

13961412 is a `hidden beast` number, since 1 + 39 + 614 + 12 = 666.

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 (13961411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44737 + ... + 45047.

It is an arithmetic number, because the mean of its divisors is an integer number (520520).

Almost surely, 2^13961412 is an apocalyptic number.

13961412 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 13961412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

13961412 is an abundant number, since it is smaller than the sum of its proper divisors (23516028).

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

13961412 is a wasteful number, since it uses less digits than its factorization.

13961412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13961412 is about 3736.4972902439. The cubic root of 13961412 is about 240.7925879699.

The spelling of 13961412 in words is "thirteen million, nine hundred sixty-one thousand, four hundred twelve".