69993 has 24 divisors (see below), whose sum is σ = 127296. Its totient is φ = 36000.

The previous prime is 69991. The next prime is 69997. The reversal of 69993 is 39996.

It is not a de Polignac number, because 69993 - 2¹ = 69991 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (69991) 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 23 ways as a sum of consecutive naturals, for example, 643 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (5304).

69993 is a Friedman number, since it can be written as 9+96*9^3, using all its digits and the basic arithmetic operations.

2⁶⁹⁹⁹³ is an apocalyptic number.

69993 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

69993 is a deficient number, since it is larger than the sum of its proper divisors (57303).

69993 is a wasteful number, since it uses less digits than its factorization.

69993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 69993 is about 264.5619020192. The cubic root of 69993 is about 41.2114791905.

It can be divided in two parts, 6 and 9993, that added together give a palindrome (9999).

The spelling of 69993 in words is "sixty-nine thousand, nine hundred ninety-three".