212193 has 16 divisors (see below), whose sum is σ = 326400. Its totient is φ = 136080.

The previous prime is 212183. The next prime is 212203. The reversal of 212193 is 391212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212183) and next prime (212203).

It is not a de Polignac number, because 212193 - 2⁵ = 212161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212123) 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, 648 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2²¹²¹⁹³ is an apocalyptic number.

It is an amenable number.

212193 is a deficient number, since it is larger than the sum of its proper divisors (114207).

212193 is a wasteful number, since it uses less digits than its factorization.

212193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 212193 is about 460.6441142574. The cubic root of 212193 is about 59.6454085432.

The spelling of 212193 in words is "two hundred twelve thousand, one hundred ninety-three".