82797 has 16 divisors (see below), whose sum is σ = 130368. Its totient is φ = 46080.

The previous prime is 82793. The next prime is 82799. The reversal of 82797 is 79728.

It is not a de Polignac number, because 82797 - 2² = 82793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

82797 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2⁸²⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

82797 is a deficient number, since it is larger than the sum of its proper divisors (47571).

82797 is a wasteful number, since it uses less digits than its factorization.

82797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 7056, while the sum is 33.

The square root of 82797 is about 287.7446784912. The cubic root of 82797 is about 43.5851154197.

The spelling of 82797 in words is "eighty-two thousand, seven hundred ninety-seven".