97993 has 4 divisors (see below), whose sum is σ = 112000. Its totient is φ = 83988.

The previous prime is 97987. The next prime is 98009. The reversal of 97993 is 39979.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 97993 - 2⁵ = 97961 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (97943) 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 3 ways as a sum of consecutive naturals, for example, 6993 + ... + 7006.

It is an arithmetic number, because the mean of its divisors is an integer number (28000).

2⁹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

97993 is a deficient number, since it is larger than the sum of its proper divisors (14007).

97993 is a wasteful number, since it uses less digits than its factorization.

97993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006.

The product of its digits is 15309, while the sum is 37.

The square root of 97993 is about 313.0383363104. The cubic root of 97993 is about 46.1032651715.

The spelling of 97993 in words is "ninety-seven thousand, nine hundred ninety-three".