97765000 has 40 divisors (see below), whose sum is σ = 229075110. Its totient is φ = 39104000.

The previous prime is 97764959. The next prime is 97765007. The reversal of 97765000 is 56779.

It can be written as a sum of positive squares in 5 ways, for example, as 8538084 + 89226916 = 2922^2 + 9446^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97765007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4777 + ... + 14776.

Almost surely, 2^97765000 is an apocalyptic number.

It is an amenable number.

97765000 is an abundant number, since it is smaller than the sum of its proper divisors (131310110).

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

97765000 is a wasteful number, since it uses less digits than its factorization.

97765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 97765000 is about 9887.6185201493. The cubic root of 97765000 is about 460.6748129782.

The spelling of 97765000 in words is "ninety-seven million, seven hundred sixty-five thousand".