212583 has 16 divisors (see below), whose sum is σ = 331776. Its totient is φ = 118560.

The previous prime is 212579. The next prime is 212587. The reversal of 212583 is 385212.

It is an interprime number because it is at equal distance from previous prime (212579) and next prime (212587).

It is not a de Polignac number, because 212583 - 2² = 212579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

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

212583 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212583.

It is not an unprimeable number, because it can be changed into a prime (212587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2²¹²⁵⁸³ is an apocalyptic number.

212583 is a deficient number, since it is larger than the sum of its proper divisors (119193).

212583 is a wasteful number, since it uses less digits than its factorization.

212583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its digits is 480, while the sum is 21.

The square root of 212583 is about 461.0672402156. The cubic root of 212583 is about 59.6819279266.

Adding to 212583 its reverse (385212), we get a palindrome (597795).

The spelling of 212583 in words is "two hundred twelve thousand, five hundred eighty-three".