82105407 has 20 divisors (see below), whose sum is σ = 123492600. Its totient is φ = 54361584.

The previous prime is 82105399. The next prime is 82105417. The reversal of 82105407 is 70450128.

It is not a de Polignac number, because 82105407 - 2³ = 82105399 is a prime.

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 (82105417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8668 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2^82105407 is an apocalyptic number.

82105407 is a deficient number, since it is larger than the sum of its proper divisors (41387193).

82105407 is a wasteful number, since it uses less digits than its factorization.

82105407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82105407 is about 9061.2033969004. The cubic root of 82105407 is about 434.6342228373.

The spelling of 82105407 in words is "eighty-two million, one hundred five thousand, four hundred seven".