65682 has 24 divisors (see below), whose sum is σ = 147420. Its totient is φ = 21120.

The previous prime is 65677. The next prime is 65687. The reversal of 65682 is 28656.

65682 is a `hidden beast` number, since 656 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (65677) and next prime (65687).

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 12321 = 231^2 + 111^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65687) by changing a digit.

65682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 782.

2⁶⁵⁶⁸² is an apocalyptic number.

65682 is an abundant number, since it is smaller than the sum of its proper divisors (81738).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710).

65682 is a wasteful number, since it uses less digits than its factorization.

65682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 65682 is about 256.2849976101. The cubic root of 65682 is about 40.3473909213.

It can be divided in two parts, 65 and 682, that added together give a palindrome (747).

The spelling of 65682 in words is "sixty-five thousand, six hundred eighty-two".