82110807 has 16 divisors (see below), whose sum is σ = 124934880. Its totient is φ = 53260416.

The previous prime is 82110793. The next prime is 82110811. The reversal of 82110807 is 70801128.

It is not a de Polignac number, because 82110807 - 2¹⁵ = 82078039 is a prime.

It is a super-4 number, since 4×82110807⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82110827) 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, 40098 + ... + 42095.

It is an arithmetic number, because the mean of its divisors is an integer number (7808430).

Almost surely, 2^82110807 is an apocalyptic number.

82110807 is a deficient number, since it is larger than the sum of its proper divisors (42824073).

82110807 is a wasteful number, since it uses less digits than its factorization.

82110807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82239 (or 82233 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 82110807 is about 9061.5013656678. The cubic root of 82110807 is about 434.6437511312.

It can be divided in two parts, 821 and 10807, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 82110807 in words is "eighty-two million, one hundred ten thousand, eight hundred seven".