32813152 has 48 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 14999040.

The previous prime is 32813149. The next prime is 32813153. The reversal of 32813152 is 25131823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32813153) 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 7 ways as a sum of consecutive naturals, for example, 16702 + ... + 18562.

It is an arithmetic number, because the mean of its divisors is an integer number (1466325).

Almost surely, 2^32813152 is an apocalyptic number.

32813152 is a gapful number since it is divisible by the number (32) 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 32813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

32813152 is an abundant number, since it is smaller than the sum of its proper divisors (37570448).

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

32813152 is a wasteful number, since it uses less digits than its factorization.

32813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 32813152 is about 5728.2765296379. The cubic root of 32813152 is about 320.1469117093.

Adding to 32813152 its reverse (25131823), we get a palindrome (57944975).

The spelling of 32813152 in words is "thirty-two million, eight hundred thirteen thousand, one hundred fifty-two".