13563774 has 64 divisors (see below), whose sum is σ = 34951680. Its totient is φ = 3866616.

The previous prime is 13563751. The next prime is 13563779. The reversal of 13563774 is 47736531.

13563774 is a `hidden beast` number, since 13 + 5 + 637 + 7 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30397 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (546120).

Almost surely, 2^13563774 is an apocalyptic number.

13563774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13563774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475840).

13563774 is an abundant number, since it is smaller than the sum of its proper divisors (21387906).

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

13563774 is an frugal number, since it uses more digits than its factorization.

13563774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 13563774 is about 3682.9029311129. The cubic root of 13563774 is about 238.4845130563.

The spelling of 13563774 in words is "thirteen million, five hundred sixty-three thousand, seven hundred seventy-four".