82670 has 16 divisors (see below), whose sum is σ = 170208. Its totient is φ = 28320.

The previous prime is 82657. The next prime is 82699. The reversal of 82670 is 7628.

82670 = 165² + 166² + 167².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82670.

It is an unprimeable number.

82670 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 7 ways as a sum of consecutive naturals, for example, 521 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (10638).

2⁸²⁶⁷⁰ is an apocalyptic number.

82670 is an abundant number, since it is smaller than the sum of its proper divisors (87538).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85104).

82670 is a wasteful number, since it uses less digits than its factorization.

82670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 82670 is about 287.5239120491. The cubic root of 82670 is about 43.5628193533.

The spelling of 82670 in words is "eighty-two thousand, six hundred seventy".