682402825 has 48 divisors (see below), whose sum is σ = 937908720. Its totient is φ = 489415680.

The previous prime is 682402817. The next prime is 682402837. The reversal of 682402825 is 528204286.

It can be written as a sum of positive squares in 24 ways, for example, as 161467849 + 520934976 = 12707^2 + 22824^2 .

It is not a de Polignac number, because 682402825 - 2³ = 682402817 is a prime.

It is a super-3 number, since 3×682402825³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2979811 + ... + 2980039.

It is an arithmetic number, because the mean of its divisors is an integer number (19539765).

Almost surely, 2^682402825 is an apocalyptic number.

682402825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

682402825 is a deficient number, since it is larger than the sum of its proper divisors (255505895).

682402825 is a wasteful number, since it uses less digits than its factorization.

682402825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 682402825 is about 26122.8410591191. The cubic root of 682402825 is about 880.4004827460.

The spelling of 682402825 in words is "six hundred eighty-two million, four hundred two thousand, eight hundred twenty-five".