13961792 has 56 divisors (see below), whose sum is σ = 30318456. Its totient is φ = 6340608.

The previous prime is 13961791. The next prime is 13961809. The reversal of 13961792 is 29716931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 11723776 = 1496^2 + 3424^2 .

It is not an unprimeable number, because it can be changed into a prime (13961791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80618 + ... + 80790.

It is an arithmetic number, because the mean of its divisors is an integer number (541401).

Almost surely, 2^13961792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159228).

13961792 is an abundant number, since it is smaller than the sum of its proper divisors (16356664).

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

13961792 is a wasteful number, since it uses less digits than its factorization.

13961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 20412, while the sum is 38.

The square root of 13961792 is about 3736.5481396605. The cubic root of 13961792 is about 240.7947725711.

It can be divided in two parts, 13 and 961792, that multiplied together give a square (12503296 = 3536²).

The spelling of 13961792 in words is "thirteen million, nine hundred sixty-one thousand, seven hundred ninety-two".