13753952 has 48 divisors (see below), whose sum is σ = 29039472. Its totient is φ = 6389760.

The previous prime is 13753951. The next prime is 13754011. The reversal of 13753952 is 25935731.

It is a happy number.

13753952 is nontrivially palindromic in base 3.

13753952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13753951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71168 + ... + 71360.

It is an arithmetic number, because the mean of its divisors is an integer number (604989).

Almost surely, 2^13753952 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 13753952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519736).

13753952 is an abundant number, since it is smaller than the sum of its proper divisors (15285520).

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

13753952 is a wasteful number, since it uses less digits than its factorization.

13753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its digits is 28350, while the sum is 35.

The square root of 13753952 is about 3708.6320928342. The cubic root of 13753952 is about 239.5939430076.

The spelling of 13753952 in words is "thirteen million, seven hundred fifty-three thousand, nine hundred fifty-two".