725993 has 2 divisors, whose sum is σ = 725994. Its totient is φ = 725992.

The previous prime is 725983. The next prime is 725999. The reversal of 725993 is 399527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719104 + 6889 = 848^2 + 83^2 .

It is an emirp because it is prime and its reverse (399527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725993 - 2⁶ = 725929 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 2⁹ + 9² + 5 + 9⁶ + 3¹¹ .

It is not a weakly prime, because it can be changed into another prime (725999) 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 as a sum of consecutive naturals, namely, 362996 + 362997.

It is an arithmetic number, because the mean of its divisors is an integer number (362997).

2⁷²⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

725993 is a deficient number, since it is larger than the sum of its proper divisors (1).

725993 is an equidigital number, since it uses as much as digits as its factorization.

725993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 35.

The square root of 725993 is about 852.0522284461. The cubic root of 725993 is about 89.8760846110.

The spelling of 725993 in words is "seven hundred twenty-five thousand, nine hundred ninety-three".