728953 has 2 divisors, whose sum is σ = 728954. Its totient is φ = 728952.

The previous prime is 728947. The next prime is 728969. The reversal of 728953 is 359827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 139129 = 768^2 + 373^2 .

It is a cyclic number.

It is not a de Polignac number, because 728953 - 2⁵ = 728921 is a prime.

It is not a weakly prime, because it can be changed into another prime (728993) 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, 364476 + 364477.

It is an arithmetic number, because the mean of its divisors is an integer number (364477).

2⁷²⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

728953 is a deficient number, since it is larger than the sum of its proper divisors (1).

728953 is an equidigital number, since it uses as much as digits as its factorization.

728953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 34.

The square root of 728953 is about 853.7874442740. The cubic root of 728953 is about 89.9980658021.

It can be divided in two parts, 728 and 953, that added together give a square (1681 = 41²).

The spelling of 728953 in words is "seven hundred twenty-eight thousand, nine hundred fifty-three".