213315 has 8 divisors (see below), whose sum is σ = 341328. Its totient is φ = 113760.

The previous prime is 213307. The next prime is 213319. The reversal of 213315 is 513312.

213315 = T₇₄ + T₇₅ + ... + T₁₁₈.

It is a happy number.

213315 is nontrivially palindromic in base 16.

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

It is not a de Polignac number, because 213315 - 2³ = 213307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 14221 = 213315 / (2 + 1 + 3 + 3 + 1 + 5).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 213294 and 213303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7096 + ... + 7125.

It is an arithmetic number, because the mean of its divisors is an integer number (42666).

2²¹³³¹⁵ is an apocalyptic number.

213315 is a deficient number, since it is larger than the sum of its proper divisors (128013).

213315 is a wasteful number, since it uses less digits than its factorization.

213315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229.

The product of its digits is 90, while the sum is 15.

The square root of 213315 is about 461.8603685098. The cubic root of 213315 is about 59.7503515907.

Adding to 213315 its reverse (513312), we get a palindrome (726627).

It can be divided in two parts, 213 and 315, that added together give a triangular number (528 = T₃₂).

The spelling of 213315 in words is "two hundred thirteen thousand, three hundred fifteen".