961667766169 has 12 divisors (see below), whose sum is σ = 1057209009892. Its totient is φ = 874103456160.

The previous prime is 961667766127. The next prime is 961667766173.

It is a happy number.

961667766169 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 715639862025 + 246027904144 = 845955^2 + 496012^2 .

It is not a de Polignac number, because 961667766169 - 2¹³ = 961667757977 is a prime.

It is a super-2 number, since 2×961667766169² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961667766098 and 961667766107.

It is not an unprimeable number, because it can be changed into a prime (961667766179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126439 + ... + 1392595.

Almost surely, 2^961667766169 is an apocalyptic number.

It is an amenable number.

961667766169 is a deficient number, since it is larger than the sum of its proper divisors (95541243723).

961667766169 is a wasteful number, since it uses less digits than its factorization.

961667766169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272456 (or 1272445 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 70.

The spelling of 961667766169 in words is "nine hundred sixty-one billion, six hundred sixty-seven million, seven hundred sixty-six thousand, one hundred sixty-nine".