212716 has 24 divisors (see below), whose sum is σ = 435456. Its totient is φ = 89040.

The previous prime is 212701. The next prime is 212777. The reversal of 212716 is 617212.

212716 = T₁₀₉ + T₁₁₀ + ... + T₁₃₆.

It is a junction number, because it is equal to n+sod(n) for n = 212693 and 212702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2²¹²⁷¹⁶ is an apocalyptic number.

It is an amenable number.

212716 is an abundant number, since it is smaller than the sum of its proper divisors (222740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212716 is a wasteful number, since it uses less digits than its factorization.

212716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 212716 is about 461.2114482534. The cubic root of 212716 is about 59.6943717589.

Adding to 212716 its reverse (617212), we get a palindrome (829928).

Subtracting 212716 from its reverse (617212), we obtain a square (404496 = 636²).

The spelling of 212716 in words is "two hundred twelve thousand, seven hundred sixteen".