82805001 has 16 divisors (see below), whose sum is σ = 113664384. Its totient is φ = 53581824.

The previous prime is 82804973. The next prime is 82805003. The reversal of 82805001 is 10050828.

It is not a de Polignac number, because 82805001 - 2⁷ = 82804873 is a prime.

It is a super-2 number, since 2×82805001² = 13713336381220002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82805003) 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, 71241 + ... + 72393.

It is an arithmetic number, because the mean of its divisors is an integer number (7104024).

Almost surely, 2^82805001 is an apocalyptic number.

It is an amenable number.

82805001 is a deficient number, since it is larger than the sum of its proper divisors (30859383).

82805001 is a wasteful number, since it uses less digits than its factorization.

82805001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 82805001 is about 9099.7253255249. The cubic root of 82805001 is about 435.8651930819.

Adding to 82805001 its reverse (10050828), we get a palindrome (92855829).

The spelling of 82805001 in words is "eighty-two million, eight hundred five thousand, one".