97769407761 has 27 divisors (see below), whose sum is σ = 150042814363. Its totient is φ = 61335504960.

The previous prime is 97769407733. The next prime is 97769407777. The reversal of 97769407761 is 16770496779.

The square root of 97769407761 is 312681.

It is a perfect power (a square), and thus also a powerful number.

97769407761 is a `hidden beast` number, since 97 + 76 + 9 + 407 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76118051025 + 21651356736 = 275895^2 + 147144^2 .

It is not a de Polignac number, because 97769407761 - 2²⁵ = 97735853329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97769407721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15943666 + ... + 15949796.

Almost surely, 2^97769407761 is an apocalyptic number.

97769407761 is the 312681-st square number.

97769407761 is the 156341-st centered octagonal number.

It is an amenable number.

97769407761 is a deficient number, since it is larger than the sum of its proper divisors (52273406602).

97769407761 is an frugal number, since it uses more digits than its factorization.

97769407761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 97769407761 in words is "ninety-seven billion, seven hundred sixty-nine million, four hundred seven thousand, seven hundred sixty-one".