782057 has 2 divisors, whose sum is σ = 782058. Its totient is φ = 782056.

The previous prime is 782053. The next prime is 782071. The reversal of 782057 is 750287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 755161 + 26896 = 869^2 + 164^2 .

It is an emirp because it is prime and its reverse (750287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 782057 - 2² = 782053 is a prime.

It is a super-2 number, since 2×782057² = 1223226302498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (782053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391028 + 391029.

It is an arithmetic number, because the mean of its divisors is an integer number (391029).

2⁷⁸²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

782057 is a deficient number, since it is larger than the sum of its proper divisors (1).

782057 is an equidigital number, since it uses as much as digits as its factorization.

782057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 782057 is about 884.3398667933. The cubic root of 782057 is about 92.1324886963.

The spelling of 782057 in words is "seven hundred eighty-two thousand, fifty-seven".