82852152 has 64 divisors (see below), whose sum is σ = 222976800. Its totient is φ = 25559040.

The previous prime is 82852127. The next prime is 82852157. The reversal of 82852152 is 25125828.

It is a super-2 number, since 2×82852152² = 13728958182062208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82852157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23224 + ... + 26552.

Almost surely, 2^82852152 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 82852152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111488400).

82852152 is an abundant number, since it is smaller than the sum of its proper divisors (140124648).

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

82852152 is a wasteful number, since it uses less digits than its factorization.

82852152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3412 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 82852152 is about 9102.3157493025. The cubic root of 82852152 is about 435.9479078128.

The spelling of 82852152 in words is "eighty-two million, eight hundred fifty-two thousand, one hundred fifty-two".