782641 has 2 divisors, whose sum is σ = 782642. Its totient is φ = 782640.

The previous prime is 782611. The next prime is 782659. The reversal of 782641 is 146287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 772641 + 10000 = 879^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 782641 - 2⁹ = 782129 is a prime.

It is a super-2 number, since 2×782641² = 1225053869762, which contains 22 as substring.

782641 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (782611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391320 + 391321.

It is an arithmetic number, because the mean of its divisors is an integer number (391321).

2⁷⁸²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

782641 is a deficient number, since it is larger than the sum of its proper divisors (1).

782641 is an equidigital number, since it uses as much as digits as its factorization.

782641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 28.

The square root of 782641 is about 884.6699949699. The cubic root of 782641 is about 92.1554162604.

The spelling of 782641 in words is "seven hundred eighty-two thousand, six hundred forty-one".