729413 has 2 divisors, whose sum is σ = 729414. Its totient is φ = 729412.

The previous prime is 729403. The next prime is 729451. The reversal of 729413 is 314927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 708964 + 20449 = 842^2 + 143^2 .

It is an emirp because it is prime and its reverse (314927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729413 - 2¹² = 725317 is a prime.

It is equal to p₅₈₇₄₂ and since 729413 and 58742 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729413.

It is not a weakly prime, because it can be changed into another prime (729403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364706 + 364707.

It is an arithmetic number, because the mean of its divisors is an integer number (364707).

2⁷²⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

729413 is a deficient number, since it is larger than the sum of its proper divisors (1).

729413 is an equidigital number, since it uses as much as digits as its factorization.

729413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 26.

The square root of 729413 is about 854.0567896809. The cubic root of 729413 is about 90.0169926762.

The spelling of 729413 in words is "seven hundred twenty-nine thousand, four hundred thirteen".