13835484 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3815424.

The previous prime is 13835483. The next prime is 13835509. The reversal of 13835484 is 48453831.

13835484 = 312² + 313² + ... + 415².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294349 + ... + 294395.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^13835484 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 13835484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

13835484 is an abundant number, since it is smaller than the sum of its proper divisors (27992484).

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

13835484 is a wasteful number, since it uses less digits than its factorization.

13835484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 13835484 is about 3719.6080438670. The cubic root of 13835484 is about 240.0664399389.

The spelling of 13835484 in words is "thirteen million, eight hundred thirty-five thousand, four hundred eighty-four".