723257 has 2 divisors, whose sum is σ = 723258. Its totient is φ = 723256.

The previous prime is 723227. The next prime is 723259. The reversal of 723257 is 752327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 657721 + 65536 = 811^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 723257 - 2⁶ = 723193 is a prime.

Together with 723259, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 723257.

It is not a weakly prime, because it can be changed into another prime (723259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 361628 + 361629.

It is an arithmetic number, because the mean of its divisors is an integer number (361629).

2⁷²³²⁵⁷ is an apocalyptic number.

It is an amenable number.

723257 is a deficient number, since it is larger than the sum of its proper divisors (1).

723257 is an equidigital number, since it uses as much as digits as its factorization.

723257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 26.

The square root of 723257 is about 850.4451775394. The cubic root of 723257 is about 89.7630392055.

The spelling of 723257 in words is "seven hundred twenty-three thousand, two hundred fifty-seven".