833968941961 has 9 divisors (see below), whose sum is σ = 837692185543. Its totient is φ = 830262186040.

The previous prime is 833968941959. The next prime is 833968941989. The reversal of 833968941961 is 169149869338.

The square root of 833968941961 is 913219.

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., 748950045561 + 85018896400 = 865419^2 + 291580^2 .

It is not a de Polignac number, because 833968941961 - 2¹ = 833968941959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (833968948961) 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 8 ways as a sum of consecutive naturals, for example, 218257431 + ... + 218261251.

Almost surely, 2^833968941961 is an apocalyptic number.

833968941961 is the 913219-th square number.

833968941961 is the 456610-th centered octagonal number.

It is an amenable number.

833968941961 is a deficient number, since it is larger than the sum of its proper divisors (3723243582).

833968941961 is an frugal number, since it uses more digits than its factorization.

833968941961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 4060 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 67.

The spelling of 833968941961 in words is "eight hundred thirty-three billion, nine hundred sixty-eight million, nine hundred forty-one thousand, nine hundred sixty-one".