97665000966 has 96 divisors (see below), whose sum is σ = 243116964000. Its totient is φ = 29014457472.

The previous prime is 97665000949. The next prime is 97665000967. The reversal of 97665000966 is 66900056679.

97665000966 is a `hidden beast` number, since 9 + 76 + 6 + 500 + 0 + 9 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97665000967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80140 + ... + 449168.

It is an arithmetic number, because the mean of its divisors is an integer number (2532468375).

Almost surely, 2^97665000966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97665000966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121558482000).

97665000966 is an abundant number, since it is smaller than the sum of its proper divisors (145451963034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97665000966 is a wasteful number, since it uses less digits than its factorization.

97665000966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369095 (or 369076 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 97665000966 in words is "ninety-seven billion, six hundred sixty-five million, nine hundred sixty-six", and thus it is an aban number.