82775 has 24 divisors (see below), whose sum is σ = 130944. Its totient is φ = 50400.

The previous prime is 82763. The next prime is 82781. The reversal of 82775 is 57728.

It is not a de Polignac number, because 82775 - 2⁴ = 82759 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8² + 2¹⁶ + 7³ + 7⁵ + 5² .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (5456).

2⁸²⁷⁷⁵ is an apocalyptic number.

82775 is a deficient number, since it is larger than the sum of its proper divisors (48169).

82775 is a wasteful number, since it uses less digits than its factorization.

82775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 82775 is about 287.7064476163. The cubic root of 82775 is about 43.5812547424.

The spelling of 82775 in words is "eighty-two thousand, seven hundred seventy-five".