13797000 has 256 divisors, whose sum is σ = 55411200. Its totient is φ = 3110400.

The previous prime is 13796977. The next prime is 13797019. The reversal of 13797000 is 79731.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188964 + ... + 189036.

It is an arithmetic number, because the mean of its divisors is an integer number (216450).

Almost surely, 2^13797000 is an apocalyptic number.

13797000 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 13797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27705600).

13797000 is an abundant number, since it is smaller than the sum of its proper divisors (41614200).

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

13797000 is a wasteful number, since it uses less digits than its factorization.

13797000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 13797000 is about 3714.4313158275. The cubic root of 13797000 is about 239.8436481642.

The spelling of 13797000 in words is "thirteen million, seven hundred ninety-seven thousand".