8213952 has 56 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 2711296.

The previous prime is 8213951. The next prime is 8213969. The reversal of 8213952 is 2593128.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34249 + ... + 34487.

Almost surely, 2^8213952 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 8213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

8213952 is an abundant number, since it is smaller than the sum of its proper divisors (13731648).

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

8213952 is a wasteful number, since it uses less digits than its factorization.

8213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 8213952 is about 2865.9993021632. Note that the first 3 decimals coincide. The cubic root of 8213952 is about 201.7672711007.

The spelling of 8213952 in words is "eight million, two hundred thirteen thousand, nine hundred fifty-two".