212971 has 8 divisors (see below), whose sum is σ = 244800. Its totient is φ = 183240.

The previous prime is 212969. The next prime is 212981. The reversal of 212971 is 179212.

212971 = T₁₂₈ + T₁₂₉ + ... + T₁₄₉.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212971 - 2¹ = 212969 is a prime.

It is a Duffinian number.

212971 is a lucky number.

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 7 ways as a sum of consecutive naturals, for example, 301 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2²¹²⁹⁷¹ is an apocalyptic number.

212971 is a deficient number, since it is larger than the sum of its proper divisors (31829).

212971 is a wasteful number, since it uses less digits than its factorization.

212971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its digits is 252, while the sum is 22.

The square root of 212971 is about 461.4878113233. The cubic root of 212971 is about 59.7182157359.

It can be divided in two parts, 21 and 2971, that added together give a palindrome (2992).

The spelling of 212971 in words is "two hundred twelve thousand, nine hundred seventy-one".