726013 has 2 divisors, whose sum is σ = 726014. Its totient is φ = 726012.

The previous prime is 726007. The next prime is 726023. The reversal of 726013 is 310627.

726013 = 602² + 603².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363609 + 362404 = 603^2 + 602^2 .

It is an emirp because it is prime and its reverse (310627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726013 - 2⁵ = 725981 is a prime.

726013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363006 + 363007.

It is an arithmetic number, because the mean of its divisors is an integer number (363007).

2⁷²⁶⁰¹³ is an apocalyptic number.

726013 is the 603-rd centered square number.

It is an amenable number.

726013 is a deficient number, since it is larger than the sum of its proper divisors (1).

726013 is an equidigital number, since it uses as much as digits as its factorization.

726013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 726013 is about 852.0639647350. The cubic root of 726013 is about 89.8769099197.

The spelling of 726013 in words is "seven hundred twenty-six thousand, thirteen".