782011 has 2 divisors, whose sum is σ = 782012. Its totient is φ = 782010.

The previous prime is 782009. The next prime is 782053. The reversal of 782011 is 110287.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 782011 - 2¹ = 782009 is a prime.

It is a super-2 number, since 2×782011² = 1223082408242, which contains 22 as substring.

Together with 782009, it forms a pair of twin primes.

It is a Chen prime.

782011 is a lucky number.

It is equal to p₆₂₆₂₃ and since 782011 and 62623 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 782011.

It is not a weakly prime, because it can be changed into another prime (782071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391005 + 391006.

It is an arithmetic number, because the mean of its divisors is an integer number (391006).

2⁷⁸²⁰¹¹ is an apocalyptic number.

782011 is a deficient number, since it is larger than the sum of its proper divisors (1).

782011 is an equidigital number, since it uses as much as digits as its factorization.

782011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 782011 is about 884.3138583105. The cubic root of 782011 is about 92.1306822732.

Adding to 782011 its reverse (110287), we get a palindrome (892298).

The spelling of 782011 in words is "seven hundred eighty-two thousand, eleven".