13733496 has 128 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 3784320.

The previous prime is 13733491. The next prime is 13733497. The reversal of 13733496 is 69433731.

13733496 is a `hidden beast` number, since 137 + 33 + 496 = 666.

13733496 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13733496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13733491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46726 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^13733496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13733496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

13733496 is an abundant number, since it is smaller than the sum of its proper divisors (31424904).

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

13733496 is a wasteful number, since it uses less digits than its factorization.

13733496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13733496 is about 3705.8731764592. The cubic root of 13733496 is about 239.4751028493.

It can be divided in two parts, 137 and 33496, that added together give a palindrome (33633).

The spelling of 13733496 in words is "thirteen million, seven hundred thirty-three thousand, four hundred ninety-six".