8379252 has 72 divisors (see below), whose sum is σ = 24827712. Its totient is φ = 2332800.

The previous prime is 8379223. The next prime is 8379253. The reversal of 8379252 is 2529738.

It is a happy number.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8379253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9927 + ... + 10737.

Almost surely, 2^8379252 is an apocalyptic number.

8379252 is a gapful number since it is divisible by the number (82) 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 8379252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413856).

8379252 is an abundant number, since it is smaller than the sum of its proper divisors (16448460).

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

8379252 is a wasteful number, since it uses less digits than its factorization.

8379252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 864 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 8379252 is about 2894.6937661867. The cubic root of 8379252 is about 203.1117667750. Note that the first 3 decimals are identical.

The spelling of 8379252 in words is "eight million, three hundred seventy-nine thousand, two hundred fifty-two".