82713735417 has 32 divisors (see below), whose sum is σ = 116615116800. Its totient is φ = 52063608128.

The previous prime is 82713735397. The next prime is 82713735427. The reversal of 82713735417 is 71453731728.

It is not a de Polignac number, because 82713735417 - 2²⁰ = 82712686841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82713735427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5140018 + ... + 5156084.

It is an arithmetic number, because the mean of its divisors is an integer number (3644222400).

Almost surely, 2^82713735417 is an apocalyptic number.

82713735417 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

82713735417 is a deficient number, since it is larger than the sum of its proper divisors (33901381383).

82713735417 is a wasteful number, since it uses less digits than its factorization.

82713735417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17405.

The product of its digits is 987840, while the sum is 48.

The spelling of 82713735417 in words is "eighty-two billion, seven hundred thirteen million, seven hundred thirty-five thousand, four hundred seventeen".