82152300 has 72 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 21800000.

The previous prime is 82152281. The next prime is 82152341. The reversal of 82152300 is 325128.

It is a super-3 number, since 3×82152300³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74755 + ... + 75845.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^82152300 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 82152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

82152300 is an abundant number, since it is smaller than the sum of its proper divisors (156707412).

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

82152300 is a wasteful number, since it uses less digits than its factorization.

82152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82152300 is about 9063.7905977577. The cubic root of 82152300 is about 434.7169515493.

Adding to 82152300 its reverse (325128), we get a palindrome (82477428).

The spelling of 82152300 in words is "eighty-two million, one hundred fifty-two thousand, three hundred".