206900825 has 24 divisors (see below), whose sum is σ = 260598648. Its totient is φ = 162938880.

The previous prime is 206900807. The next prime is 206900831. The reversal of 206900825 is 528009602.

It can be written as a sum of positive squares in 12 ways, for example, as 142468096 + 64432729 = 11936^2 + 8027^2 .

It is not a de Polignac number, because 206900825 - 2⁸ = 206900569 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206900791 and 206900800.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 660869 + ... + 661181.

It is an arithmetic number, because the mean of its divisors is an integer number (10858277).

Almost surely, 2^206900825 is an apocalyptic number.

206900825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206900825 is a deficient number, since it is larger than the sum of its proper divisors (53697823).

206900825 is a wasteful number, since it uses less digits than its factorization.

206900825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 206900825 is about 14384.0475875186. The cubic root of 206900825 is about 591.4536833977.

The spelling of 206900825 in words is "two hundred six million, nine hundred thousand, eight hundred twenty-five".