13791000 has 64 divisors (see below), whose sum is σ = 43037280. Its totient is φ = 3676800.

The previous prime is 13790963. The next prime is 13791049. The reversal of 13791000 is 19731.

13791000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702 + ... + 5298.

Almost surely, 2^13791000 is an apocalyptic number.

13791000 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 13791000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518640).

13791000 is an abundant number, since it is smaller than the sum of its proper divisors (29246280).

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

13791000 is a wasteful number, since it uses less digits than its factorization.

13791000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 13791000 is about 3713.6235673531. The cubic root of 13791000 is about 239.8088756160.

The spelling of 13791000 in words is "thirteen million, seven hundred ninety-one thousand".