3217152 has 72 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 1039360.

The previous prime is 3217141. The next prime is 3217157. The reversal of 3217152 is 2517123.

It is a super-2 number, since 2×3217152² = 20700133982208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45277 + ... + 45347.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^3217152 is an apocalyptic number.

3217152 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 3217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

3217152 is an abundant number, since it is smaller than the sum of its proper divisors (5612928).

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

3217152 is an equidigital number, since it uses as much as digits as its factorization.

3217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 3217152 is about 1793.6421047690. The cubic root of 3217152 is about 147.6240763891.

It can be divided in two parts, 32171 and 52, that added together give a palindrome (32223).

The spelling of 3217152 in words is "three million, two hundred seventeen thousand, one hundred fifty-two".