729941 has 2 divisors, whose sum is σ = 729942. Its totient is φ = 729940.

The previous prime is 729931. The next prime is 729943. The reversal of 729941 is 149927.

729941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729316 + 625 = 854^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 729941 - 2⁶ = 729877 is a prime.

Together with 729943, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₅₈₇₈₄ and since 729941 and 58784 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 729898 and 729907.

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 729941.

It is not a weakly prime, because it can be changed into another prime (729943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364970 + 364971.

It is an arithmetic number, because the mean of its divisors is an integer number (364971).

2⁷²⁹⁹⁴¹ is an apocalyptic number.

It is an amenable number.

729941 is a deficient number, since it is larger than the sum of its proper divisors (1).

729941 is an equidigital number, since it uses as much as digits as its factorization.

729941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 32.

The square root of 729941 is about 854.3658466957. The cubic root of 729941 is about 90.0387076299.

The spelling of 729941 in words is "seven hundred twenty-nine thousand, nine hundred forty-one".