212993 has 12 divisors (see below), whose sum is σ = 250512. Its totient is φ = 179520.

The previous prime is 212987. The next prime is 212999. The reversal of 212993 is 399212.

It is an interprime number because it is at equal distance from previous prime (212987) and next prime (212999).

It is not a de Polignac number, because 212993 - 2¹⁰ = 211969 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (212999) 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, 3146 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (20876).

It is a Proth number, since it is equal to 13 ⋅ 2¹⁴ + 1 and 13 < 2¹⁴.

2²¹²⁹⁹³ is an apocalyptic number.

It is an amenable number.

212993 is a deficient number, since it is larger than the sum of its proper divisors (37519).

212993 is a wasteful number, since it uses less digits than its factorization.

212993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 212993 is about 461.5116466569. The cubic root of 212993 is about 59.7202719712.

It can be divided in two parts, 2129 and 93, that added together give a palindrome (2222).

The spelling of 212993 in words is "two hundred twelve thousand, nine hundred ninety-three".