212591 has 8 divisors (see below), whose sum is σ = 228480. Its totient is φ = 197208.

The previous prime is 212587. The next prime is 212593. The reversal of 212591 is 195212.

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 212591 - 2² = 212587 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212593) 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 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2²¹²⁵⁹¹ is an apocalyptic number.

212591 is a deficient number, since it is larger than the sum of its proper divisors (15889).

212591 is a wasteful number, since it uses less digits than its factorization.

212591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 180, while the sum is 20.

The square root of 212591 is about 461.0759156581. The cubic root of 212591 is about 59.6826765745.

The spelling of 212591 in words is "two hundred twelve thousand, five hundred ninety-one".