97893 has 12 divisors (see below), whose sum is σ = 144300. Its totient is φ = 63936.

The previous prime is 97883. The next prime is 97919. The reversal of 97893 is 39879.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 66564 = 177^2 + 258^2 .

It is not a de Polignac number, because 97893 - 2⁵ = 97861 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97893.

It is not an unprimeable number, because it can be changed into a prime (97813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (12025).

2⁹⁷⁸⁹³ is an apocalyptic number.

It is an amenable number.

97893 is a deficient number, since it is larger than the sum of its proper divisors (46407).

97893 is a wasteful number, since it uses less digits than its factorization.

97893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 97893 is about 312.8785706948. The cubic root of 97893 is about 46.0875773310.

It can be divided in two parts, 97 and 893, that added together give a triangular number (990 = T₄₄).

The spelling of 97893 in words is "ninety-seven thousand, eight hundred ninety-three".