13797504 has 192 divisors, whose sum is σ = 47736000. Its totient is φ = 3741696.

The previous prime is 13797481. The next prime is 13797521. The reversal of 13797504 is 40579731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13797504² = 380742233260032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233827 + ... + 233885.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^13797504 is an apocalyptic number.

13797504 is a gapful number since it is divisible by the number (14) 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 13797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868000).

13797504 is an abundant number, since it is smaller than the sum of its proper divisors (33938496).

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

13797504 is a wasteful number, since it uses less digits than its factorization.

13797504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13797504 is about 3714.4991587023. The cubic root of 13797504 is about 239.8465685993.

The spelling of 13797504 in words is "thirteen million, seven hundred ninety-seven thousand, five hundred four".