82658 has 8 divisors (see below), whose sum is σ = 127452. Its totient is φ = 40176.

The previous prime is 82657. The next prime is 82699. The reversal of 82658 is 85628.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 289 = 287^2 + 17^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82658.

It is not an unprimeable number, because it can be changed into a prime (82651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485 + ... + 632.

2⁸²⁶⁵⁸ is an apocalyptic number.

82658 is a deficient number, since it is larger than the sum of its proper divisors (44794).

82658 is a wasteful number, since it uses less digits than its factorization.

82658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its digits is 3840, while the sum is 29.

The square root of 82658 is about 287.5030434622. The cubic root of 82658 is about 43.5607114579.

It can be divided in two parts, 82 and 658, that multiplied together give a triangular number (53956 = T₃₂₈).

The spelling of 82658 in words is "eighty-two thousand, six hundred fifty-eight".