13947000 has 64 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 3718400.

The previous prime is 13946983. The next prime is 13947029. The reversal of 13947000 is 74931.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 676 + ... + 5324.

Almost surely, 2^13947000 is an apocalyptic number.

13947000 is a gapful number since it is divisible by the number (10) 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 13947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

13947000 is an abundant number, since it is smaller than the sum of its proper divisors (29577000).

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

13947000 is a wasteful number, since it uses less digits than its factorization.

13947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13947000 is about 3734.5682481379. The cubic root of 13947000 is about 240.7097048164.

The spelling of 13947000 in words is "thirteen million, nine hundred forty-seven thousand".