79993 has 4 divisors (see below), whose sum is σ = 80640. Its totient is φ = 79348.

The previous prime is 79987. The next prime is 79997. The reversal of 79993 is 39997.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 79993 - 2⁹ = 79481 is a prime.

It is a Duffinian number.

79993 is a lucky number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79997) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁷⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

79993 is a deficient number, since it is larger than the sum of its proper divisors (647).

79993 is a wasteful number, since it uses less digits than its factorization.

79993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

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

The square root of 79993 is about 282.8303378352. The cubic root of 79993 is about 43.0874370104.

It can be divided in two parts, 7 and 9993, that added together give a 4-th power (10000 = 10⁴).

The spelling of 79993 in words is "seventy-nine thousand, nine hundred ninety-three".