682726257 has 12 divisors (see below), whose sum is σ = 1012813620. Its totient is φ = 442849248.

The previous prime is 682726243. The next prime is 682726267. The reversal of 682726257 is 752627286.

It can be written as a sum of positive squares in 2 ways, for example, as 651321441 + 31404816 = 25521^2 + 5604^2 .

It is not a de Polignac number, because 682726257 - 2⁴ = 682726241 is a prime.

It is a super-2 number, since 2×682726257² = 932230283994460098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (682726267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024782 + ... + 1025447.

It is an arithmetic number, because the mean of its divisors is an integer number (84401135).

Almost surely, 2^682726257 is an apocalyptic number.

It is an amenable number.

682726257 is a deficient number, since it is larger than the sum of its proper divisors (330087363).

682726257 is a wasteful number, since it uses less digits than its factorization.

682726257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050272 (or 2050269 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 682726257 is about 26129.0309234767. The cubic root of 682726257 is about 880.5395524683.

It can be divided in two parts, 68272 and 6257, that added together give a square (74529 = 273²).

The spelling of 682726257 in words is "six hundred eighty-two million, seven hundred twenty-six thousand, two hundred fifty-seven".