212985 has 12 divisors (see below), whose sum is σ = 369252. Its totient is φ = 113568.

The previous prime is 212981. The next prime is 212987. The reversal of 212985 is 589212.

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 156816 = 237^2 + 396^2 .

It is not a de Polignac number, because 212985 - 2² = 212981 is a prime.

It is a super-2 number, since 2×212985² = 90725220450, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (212981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (30771).

2²¹²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

212985 is a deficient number, since it is larger than the sum of its proper divisors (156267).

212985 is a wasteful number, since it uses less digits than its factorization.

212985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4741 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 212985 is about 461.5029794053. The cubic root of 212985 is about 59.7195242657.

The spelling of 212985 in words is "two hundred twelve thousand, nine hundred eighty-five".