82950336121 has 9 divisors (see below), whose sum is σ = 83468210511. Its totient is φ = 82435660464.

The previous prime is 82950336109. The next prime is 82950336167. The reversal of 82950336121 is 12163305928.

The square root of 82950336121 is 288011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81104774521 + 1845561600 = 284789^2 + 42960^2 .

It is not a de Polignac number, because 82950336121 - 2²¹ = 82948238969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82950336101) 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 8 ways as a sum of consecutive naturals, for example, 51553165 + ... + 51554773.

Almost surely, 2^82950336121 is an apocalyptic number.

82950336121 is the 288011-st square number.

82950336121 is the 144006-th centered octagonal number.

It is an amenable number.

82950336121 is a deficient number, since it is larger than the sum of its proper divisors (517874390).

82950336121 is an frugal number, since it uses more digits than its factorization.

82950336121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 82950336121 in words is "eighty-two billion, nine hundred fifty million, three hundred thirty-six thousand, one hundred twenty-one".