82352 has 10 divisors (see below), whose sum is σ = 159588. Its totient is φ = 41168.

The previous prime is 82351. The next prime is 82361. The reversal of 82352 is 25328.

It is a d-powerful number, because it can be written as 8² + 2¹⁴ + 3⁵ + 5³ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (82351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2558 + ... + 2589.

2⁸²³⁵² is an apocalyptic number.

It is an amenable number.

82352 is a deficient number, since it is larger than the sum of its proper divisors (77236).

82352 is a wasteful number, since it uses less digits than its factorization.

82352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5149 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 82352 is about 286.9703817470. The cubic root of 82352 is about 43.5068910561.

It can be divided in two parts, 82 and 352, that added together give a palindrome (434).

The spelling of 82352 in words is "eighty-two thousand, three hundred fifty-two".