830137832161 has 27 divisors (see below), whose sum is σ = 921869591097. Its totient is φ = 746971800960.

The previous prime is 830137832141. The next prime is 830137832171. The reversal of 830137832161 is 161238731038.

The square root of 830137832161 is 911119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 180391761 + 829957440400 = 13431^2 + 911020^2 .

It is not a de Polignac number, because 830137832161 - 2¹¹ = 830137830113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830137832141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1132520551 + ... + 1132521283.

Almost surely, 2^830137832161 is an apocalyptic number.

830137832161 is the 911119-th square number.

830137832161 is the 455560-th centered octagonal number.

It is an amenable number.

830137832161 is a deficient number, since it is larger than the sum of its proper divisors (91731758936).

830137832161 is an frugal number, since it uses more digits than its factorization.

830137832161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 830137832161 in words is "eight hundred thirty billion, one hundred thirty-seven million, eight hundred thirty-two thousand, one hundred sixty-one".