13753936 has 40 divisors (see below), whose sum is σ = 31287680. Its totient is φ = 5733504.

The previous prime is 13753919. The next prime is 13753951. The reversal of 13753936 is 63935731.

It is a happy number.

13753936 is digitally balanced in base 2 and base 8, 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 (37).

13753936 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13753895 and 13753904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2485 + ... + 5803.

It is an arithmetic number, because the mean of its divisors is an integer number (782192).

Almost surely, 2^13753936 is an apocalyptic number.

13753936 is a gapful number since it is divisible by the number (16) 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 13753936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643840).

13753936 is an abundant number, since it is smaller than the sum of its proper divisors (17533744).

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

13753936 is a wasteful number, since it uses less digits than its factorization.

13753936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3365 counting only the distinct ones).

The product of its digits is 51030, while the sum is 37.

The square root of 13753936 is about 3708.6299357040. The cubic root of 13753936 is about 239.5938501008.

The spelling of 13753936 in words is "thirteen million, seven hundred fifty-three thousand, nine hundred thirty-six".