79953 has 8 divisors (see below), whose sum is σ = 110400. Its totient is φ = 51408.

The previous prime is 79943. The next prime is 79967. The reversal of 79953 is 35997.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 79953 - 2⁶ = 79889 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 9³ + 9³ + 5⁷ + 3³ .

It is not an unprimeable number, because it can be changed into a prime (79903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (13800).

2⁷⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

79953 is a deficient number, since it is larger than the sum of its proper divisors (30447).

79953 is a wasteful number, since it uses less digits than its factorization.

79953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951.

The product of its digits is 8505, while the sum is 33.

The square root of 79953 is about 282.7596152211. The cubic root of 79953 is about 43.0802539451.

Subtracting from 79953 its reverse (35997), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 79953 in words is "seventy-nine thousand, nine hundred fifty-three".