97966820956761 has 9 divisors (see below), whose sum is σ = 141507673161439. Its totient is φ = 65311194175536.

The previous prime is 97966820956747. The next prime is 97966820956769. The reversal of 97966820956761 is 16765902866979.

The square root of 97966820956761 is 9897819.

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., 1144054856025 + 96822766100736 = 1069605^2 + 9839856^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 97966820956761 - 2⁵ = 97966820956729 is a prime.

It is a super-2 number, since 2×97966820956761² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97966820956769) 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, 28043821 + ... + 31343093.

Almost surely, 2^{97966820956761} is an apocalyptic number.

97966820956761 is the 9897819-th square number.

97966820956761 is the 4948910-th centered octagonal number.

It is an amenable number.

97966820956761 is a deficient number, since it is larger than the sum of its proper divisors (43540852204678).

97966820956761 is an frugal number, since it uses more digits than its factorization.

97966820956761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598552 (or 3299276 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 97966820956761 in words is "ninety-seven trillion, nine hundred sixty-six billion, eight hundred twenty million, nine hundred fifty-six thousand, seven hundred sixty-one".