13522032 has 80 divisors (see below), whose sum is σ = 39298080. Its totient is φ = 4451328.

The previous prime is 13522031. The next prime is 13522063. The reversal of 13522032 is 23022531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13521996 and 13522014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48678 + ... + 48954.

It is an arithmetic number, because the mean of its divisors is an integer number (491226).

Almost surely, 2^13522032 is an apocalyptic number.

13522032 is a gapful number since it is divisible by the number (12) 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 13522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649040).

13522032 is an abundant number, since it is smaller than the sum of its proper divisors (25776048).

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

13522032 is a wasteful number, since it uses less digits than its factorization.

13522032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13522032 is about 3677.2315673615. The cubic root of 13522032 is about 238.2396193195.

Adding to 13522032 its reverse (23022531), we get a palindrome (36544563).

The spelling of 13522032 in words is "thirteen million, five hundred twenty-two thousand, thirty-two".