782365225 has 12 divisors (see below), whose sum is σ = 971121996. Its totient is φ = 625254080.

The previous prime is 782365201. The next prime is 782365273. The reversal of 782365225 is 522563287.

782365225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 230068224 + 552297001 = 15168^2 + 23501^2 .

It is not a de Polignac number, because 782365225 - 2¹⁷ = 782234153 is a prime.

It is a super-2 number, since 2×782365225² = 1224190690578601250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9879 + ... + 40771.

It is an arithmetic number, because the mean of its divisors is an integer number (80926833).

Almost surely, 2^782365225 is an apocalyptic number.

It is an amenable number.

782365225 is a deficient number, since it is larger than the sum of its proper divisors (188756771).

782365225 is a wasteful number, since it uses less digits than its factorization.

782365225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31916 (or 31911 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 782365225 is about 27970.7923555984. The cubic root of 782365225 is about 921.4459088596.

The spelling of 782365225 in words is "seven hundred eighty-two million, three hundred sixty-five thousand, two hundred twenty-five".