13749966 has 32 divisors (see below), whose sum is σ = 30909600. Its totient is φ = 4530240.

The previous prime is 13749961. The next prime is 13749971. The reversal of 13749966 is 66994731.

It is an interprime number because it is at equal distance from previous prime (13749961) and next prime (13749971).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (965925).

Almost surely, 2^13749966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13749966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454800).

13749966 is an abundant number, since it is smaller than the sum of its proper divisors (17159634).

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

13749966 is a wasteful number, since it uses less digits than its factorization.

13749966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 13749966 is about 3708.0946589859. The cubic root of 13749966 is about 239.5707953884.

The spelling of 13749966 in words is "thirteen million, seven hundred forty-nine thousand, nine hundred sixty-six".