82496 has 14 divisors (see below), whose sum is σ = 163830. Its totient is φ = 41216.

The previous prime is 82493. The next prime is 82499. The reversal of 82496 is 69428.

It is an interprime number because it is at equal distance from previous prime (82493) and next prime (82499).

It can be written as a sum of positive squares in only one way, i.e., 78400 + 4096 = 280^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (82493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 581 + ... + 708.

2⁸²⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

82496 is a deficient number, since it is larger than the sum of its proper divisors (81334).

82496 is a wasteful number, since it uses less digits than its factorization.

82496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1291 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 82496 is about 287.2211691363. The cubic root of 82496 is about 43.5322348819.

It can be divided in two parts, 8249 and 6, that multiplied together give a palindrome (49494).

The spelling of 82496 in words is "eighty-two thousand, four hundred ninety-six".