82568035 has 32 divisors (see below), whose sum is σ = 113172480. Its totient is φ = 57283200.

The previous prime is 82568021. The next prime is 82568051. The reversal of 82568035 is 53086528.

It is not a de Polignac number, because 82568035 - 2¹⁵ = 82535267 is a prime.

It is a super-2 number, since 2×82568035² = 13634960807522450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 82567985 and 82568003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134389 + ... + 135001.

It is an arithmetic number, because the mean of its divisors is an integer number (3536640).

Almost surely, 2^82568035 is an apocalyptic number.

82568035 is a deficient number, since it is larger than the sum of its proper divisors (30604445).

82568035 is a wasteful number, since it uses less digits than its factorization.

82568035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 82568035 is about 9086.6954939626. The cubic root of 82568035 is about 435.4490188894.

The spelling of 82568035 in words is "eighty-two million, five hundred sixty-eight thousand, thirty-five".