782461 has 2 divisors, whose sum is σ = 782462. Its totient is φ = 782460.

The previous prime is 782443. The next prime is 782473. The reversal of 782461 is 164287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 562500 + 219961 = 750^2 + 469^2 .

It is a cyclic number.

It is not a de Polignac number, because 782461 - 2⁵ = 782429 is a prime.

It is a super-2 number, since 2×782461² = 1224490433042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (782861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391230 + 391231.

It is an arithmetic number, because the mean of its divisors is an integer number (391231).

2⁷⁸²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

782461 is a deficient number, since it is larger than the sum of its proper divisors (1).

782461 is an equidigital number, since it uses as much as digits as its factorization.

782461 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 782461 is about 884.5682562697. The cubic root of 782461 is about 92.1483507617.

The spelling of 782461 in words is "seven hundred eighty-two thousand, four hundred sixty-one".