782113 has 2 divisors, whose sum is σ = 782114. Its totient is φ = 782112.

The previous prime is 782107. The next prime is 782123. The reversal of 782113 is 311287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 350464 = 657^2 + 592^2 .

It is a cyclic number.

It is not a de Polignac number, because 782113 - 2⁹ = 781601 is a prime.

It is a super-2 number, since 2×782113² = 1223401489538, which contains 22 as substring.

782113 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (782123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391056 + 391057.

It is an arithmetic number, because the mean of its divisors is an integer number (391057).

2⁷⁸²¹¹³ is an apocalyptic number.

It is an amenable number.

782113 is a deficient number, since it is larger than the sum of its proper divisors (1).

782113 is an equidigital number, since it uses as much as digits as its factorization.

782113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 22.

The square root of 782113 is about 884.3715282617. The cubic root of 782113 is about 92.1346877245.

The spelling of 782113 in words is "seven hundred eighty-two thousand, one hundred thirteen".