723263257 has 2 divisors, whose sum is σ = 723263258. Its totient is φ = 723263256.

The previous prime is 723263251. The next prime is 723263269. The reversal of 723263257 is 752362327.

723263257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 610287616 + 112975641 = 24704^2 + 10629^2 .

It is an emirp because it is prime and its reverse (752362327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 723263257 - 2¹⁵ = 723230489 is a prime.

It is equal to p_37394344 and since 723263257 and 37394344 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (723263251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 361631628 + 361631629.

It is an arithmetic number, because the mean of its divisors is an integer number (361631629).

Almost surely, 2^723263257 is an apocalyptic number.

It is an amenable number.

723263257 is a deficient number, since it is larger than the sum of its proper divisors (1).

723263257 is an equidigital number, since it uses as much as digits as its factorization.

723263257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 37.

The square root of 723263257 is about 26893.5541905491. The cubic root of 723263257 is about 897.6329805568.

The spelling of 723263257 in words is "seven hundred twenty-three million, two hundred sixty-three thousand, two hundred fifty-seven".