967726680361 has 9 divisors (see below), whose sum is σ = 1125730883511. Its totient is φ = 829474109352.

The previous prime is 967726680353. The next prime is 967726680373. The reversal of 967726680361 is 163086627769.

The square root of 967726680361 is 983731.

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., 16797456025 + 950929224336 = 129605^2 + 975156^2 .

It is not a de Polignac number, because 967726680361 - 2³ = 967726680353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 967726680361.

It is not an unprimeable number, because it can be changed into a prime (967726680961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6815851 + ... + 6956383.

It is an arithmetic number, because the mean of its divisors is an integer number (125081209279).

Almost surely, 2^967726680361 is an apocalyptic number.

967726680361 is the 983731-st square number.

967726680361 is the 491866-th centered octagonal number.

It is an amenable number.

967726680361 is a deficient number, since it is larger than the sum of its proper divisors (158004203150).

967726680361 is an frugal number, since it uses more digits than its factorization.

967726680361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281080 (or 140540 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 967726680361 in words is "nine hundred sixty-seven billion, seven hundred twenty-six million, six hundred eighty thousand, three hundred sixty-one".