966719601961 has 9 divisors (see below), whose sum is σ = 970449478743. Its totient is φ = 963004017360.

The previous prime is 966719601899. The next prime is 966719601977. The reversal of 966719601961 is 169106917669.

The square root of 966719601961 is 983219.

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., 653298776361 + 313420825600 = 808269^2 + 559840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-966719601961 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 966719601961.

It is not an unprimeable number, because it can be changed into a prime (966719601761) 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, 276282790 + ... + 276286288.

Almost surely, 2^966719601961 is an apocalyptic number.

966719601961 is the 983219-th square number.

966719601961 is the 491610-th centered octagonal number.

It is an amenable number.

966719601961 is a deficient number, since it is larger than the sum of its proper divisors (3729876782).

966719601961 is an frugal number, since it uses more digits than its factorization.

966719601961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 61.

The spelling of 966719601961 in words is "nine hundred sixty-six billion, seven hundred nineteen million, six hundred one thousand, nine hundred sixty-one".