212765985 has 48 divisors (see below), whose sum is σ = 386650368. Its totient is φ = 108028800.

The previous prime is 212765983. The next prime is 212766013. The reversal of 212765985 is 589567212.

It is not a de Polignac number, because 212765985 - 2¹ = 212765983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212765985.

It is not an unprimeable number, because it can be changed into a prime (212765983) 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 in 47 ways as a sum of consecutive naturals, for example, 321555 + ... + 322215.

It is an arithmetic number, because the mean of its divisors is an integer number (8055216).

Almost surely, 2^212765985 is an apocalyptic number.

It is an amenable number.

212765985 is a deficient number, since it is larger than the sum of its proper divisors (173884383).

212765985 is a wasteful number, since it uses less digits than its factorization.

212765985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 212765985 is about 14586.5000942652. The cubic root of 212765985 is about 596.9904714690.

It can be divided in two parts, 21276 and 5985, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 212765985 in words is "two hundred twelve million, seven hundred sixty-five thousand, nine hundred eighty-five".