727013 has 12 divisors (see below), whose sum is σ = 870732. Its totient is φ = 604800.

The previous prime is 727009. The next prime is 727019. The reversal of 727013 is 310727.

It can be written as a sum of positive squares in 2 ways, for example, as 693889 + 33124 = 833^2 + 182^2 .

It is not a de Polignac number, because 727013 - 2² = 727009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1613 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (72561).

2⁷²⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

727013 is a deficient number, since it is larger than the sum of its proper divisors (143719).

727013 is a wasteful number, since it uses less digits than its factorization.

727013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 727013 is about 852.6505732127. The cubic root of 727013 is about 89.9181560482.

The spelling of 727013 in words is "seven hundred twenty-seven thousand, thirteen".