728261 has 2 divisors, whose sum is σ = 728262. Its totient is φ = 728260.

The previous prime is 728209. The next prime is 728267. The reversal of 728261 is 162827.

728261 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., 591361 + 136900 = 769^2 + 370^2 .

It is a cyclic number.

It is not a de Polignac number, because 728261 - 2¹⁴ = 711877 is a prime.

It is a Chen prime.

It is equal to p₅₈₆₅₂ and since 728261 and 58652 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 728261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364130 + 364131.

It is an arithmetic number, because the mean of its divisors is an integer number (364131).

2⁷²⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

728261 is a deficient number, since it is larger than the sum of its proper divisors (1).

728261 is an equidigital number, since it uses as much as digits as its factorization.

728261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344, while the sum is 26.

The square root of 728261 is about 853.3820949610. The cubic root of 728261 is about 89.9695781953.

It can be divided in two parts, 72826 and 1, that added together give a palindrome (72827).

The spelling of 728261 in words is "seven hundred twenty-eight thousand, two hundred sixty-one".