172083405689 has 16 divisors (see below), whose sum is σ = 192260418000. Its totient is φ = 152929195776.

The previous prime is 172083405677. The next prime is 172083405701. The reversal of 172083405689 is 986504380271.

It is an interprime number because it is at equal distance from previous prime (172083405677) and next prime (172083405701).

It can be written as a sum of positive squares in 8 ways, for example, as 14844985600 + 157238420089 = 121840^2 + 396533^2 .

It is not a de Polignac number, because 172083405689 - 2⁴ = 172083405673 is a prime.

It is a super-2 number, since 2×172083405689² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 172083405689.

It is not an unprimeable number, because it can be changed into a prime (172083405619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522374 + ... + 785519.

It is an arithmetic number, because the mean of its divisors is an integer number (12016276125).

It is a 1-persistent number, because it is pandigital, but 2⋅172083405689 = 344166811378 is not.

Almost surely, 2^172083405689 is an apocalyptic number.

It is an amenable number.

172083405689 is a deficient number, since it is larger than the sum of its proper divisors (20177012311).

172083405689 is a wasteful number, since it uses less digits than its factorization.

172083405689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308284.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 172083405689 in words is "one hundred seventy-two billion, eighty-three million, four hundred five thousand, six hundred eighty-nine".