82170217101061 has 16 divisors (see below), whose sum is σ = 83815362551808. Its totient is φ = 80528619787200.

The previous prime is 82170217101041. The next prime is 82170217101083. The reversal of 82170217101061 is 16010171207128.

It is a cyclic number.

It is not a de Polignac number, because 82170217101061 - 2¹⁵ = 82170217068293 is a prime.

It is a super-2 number, since 2×82170217101061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82170217101061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82170217101041) 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, 225541116 + ... + 225905146.

It is an arithmetic number, because the mean of its divisors is an integer number (5238460159488).

Almost surely, 2^{82170217101061} is an apocalyptic number.

It is an amenable number.

82170217101061 is a deficient number, since it is larger than the sum of its proper divisors (1645145450747).

82170217101061 is a wasteful number, since it uses less digits than its factorization.

82170217101061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368892.

The product of its (nonzero) digits is 9408, while the sum is 37.

Adding to 82170217101061 its reverse (16010171207128), we get a palindrome (98180388308189).

The spelling of 82170217101061 in words is "eighty-two trillion, one hundred seventy billion, two hundred seventeen million, one hundred one thousand, sixty-one".