82801 has 4 divisors (see below), whose sum is σ = 85504. Its totient is φ = 80100.

The previous prime is 82799. The next prime is 82811. The reversal of 82801 is 10828.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82801 - 2¹ = 82799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1305 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (21376).

2⁸²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

82801 is a deficient number, since it is larger than the sum of its proper divisors (2703).

82801 is a wasteful number, since it uses less digits than its factorization.

82801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82801 is about 287.7516290136. The cubic root of 82801 is about 43.5858172875.

It can be divided in two parts, 8280 and 1, that added together give a square (8281 = 91²).

The spelling of 82801 in words is "eighty-two thousand, eight hundred one".