213249 has 8 divisors (see below), whose sum is σ = 293632. Its totient is φ = 137520.

The previous prime is 213247. The next prime is 213253. The reversal of 213249 is 942312.

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

It is not a de Polignac number, because 213249 - 2¹ = 213247 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213249.

It is not an unprimeable number, because it can be changed into a prime (213247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (36704).

2²¹³²⁴⁹ is an apocalyptic number.

It is an amenable number.

213249 is a deficient number, since it is larger than the sum of its proper divisors (80383).

213249 is a wasteful number, since it uses less digits than its factorization.

213249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327.

The product of its digits is 432, while the sum is 21.

The square root of 213249 is about 461.7889128162. The cubic root of 213249 is about 59.7441886705.

The spelling of 213249 in words is "two hundred thirteen thousand, two hundred forty-nine".