13797300 has 144 divisors (see below), whose sum is σ = 45122112. Its totient is φ = 3225600.

The previous prime is 13797299. The next prime is 13797347. The reversal of 13797300 is 379731.

13797300 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 Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122044 + ... + 122156.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^13797300 is an apocalyptic number.

13797300 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 13797300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561056).

13797300 is an abundant number, since it is smaller than the sum of its proper divisors (31324812).

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

13797300 is a wasteful number, since it uses less digits than its factorization.

13797300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 13797300 is about 3714.4716986403. The cubic root of 13797300 is about 239.8453865270.

Subtracting from 13797300 its reverse (379731), we obtain a square (13417569 = 3663²).

The spelling of 13797300 in words is "thirteen million, seven hundred ninety-seven thousand, three hundred".