212646625 has 16 divisors (see below), whose sum is σ = 280996560. Its totient is φ = 160108800.

The previous prime is 212646607. The next prime is 212646673. The reversal of 212646625 is 526646212.

It can be written as a sum of positive squares in 8 ways, for example, as 14653584 + 197993041 = 3828^2 + 14071^2 .

It is not a de Polignac number, because 212646625 - 2⁵ = 212646593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47910 + ... + 52159.

It is an arithmetic number, because the mean of its divisors is an integer number (17562285).

Almost surely, 2^212646625 is an apocalyptic number.

212646625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212646625 is a deficient number, since it is larger than the sum of its proper divisors (68349935).

212646625 is a wasteful number, since it uses less digits than its factorization.

212646625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100101 (or 100091 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 212646625 is about 14582.4080658854. The cubic root of 212646625 is about 596.8788149752.

It can be divided in two parts, 21264 and 6625, that added together give a square (27889 = 167²).

The spelling of 212646625 in words is "two hundred twelve million, six hundred forty-six thousand, six hundred twenty-five".