97785 has 24 divisors (see below), whose sum is σ = 176904. Its totient is φ = 49920.

The previous prime is 97777. The next prime is 97787. The reversal of 97785 is 58779.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 95481 = 48^2 + 309^2 .

It is not a de Polignac number, because 97785 - 2³ = 97777 is a prime.

Its product of digits (17640) is a multiple of the sum of its prime factors (105).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (97787) 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 23 ways as a sum of consecutive naturals, for example, 1819 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁹⁷⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

97785 is a deficient number, since it is larger than the sum of its proper divisors (79119).

97785 is a wasteful number, since it uses less digits than its factorization.

97785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 97785 is about 312.7059321471. The cubic root of 97785 is about 46.0706224588.

The spelling of 97785 in words is "ninety-seven thousand, seven hundred eighty-five".