723993 has 8 divisors (see below), whose sum is σ = 969408. Its totient is φ = 480624.

The previous prime is 723977. The next prime is 723997. The reversal of 723993 is 399327.

723993 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 723993 - 2⁴ = 723977 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 a d-powerful number, because it can be written as 7⁴ + 2¹⁷ + 9⁵ + 3 + 9⁶ + 3³ .

723993 is strictly pandigital in base 7.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (723997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (121176).

2⁷²³⁹⁹³ is an apocalyptic number.

It is an amenable number.

723993 is a deficient number, since it is larger than the sum of its proper divisors (245415).

723993 is a wasteful number, since it uses less digits than its factorization.

723993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023.

The product of its digits is 10206, while the sum is 33.

The square root of 723993 is about 850.8777820580. The cubic root of 723993 is about 89.7934770718.

It can be divided in two parts, 72 and 3993, that multiplied together give a cube (287496 = 66³).

The spelling of 723993 in words is "seven hundred twenty-three thousand, nine hundred ninety-three".