36213 has 4 divisors (see below), whose sum is σ = 48288. Its totient is φ = 24140.

The previous prime is 36209. The next prime is 36217. The reversal of 36213 is 31263.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (36209) and next prime (36217).

It is a cyclic number.

It is not a de Polignac number, because 36213 - 2² = 36209 is a prime.

It is a super-2 number, since 2×36213² = 2622762738, which contains 22 as substring.

It is a D-number.

36213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 36192 and 36201.

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 36213.

It is not an unprimeable number, because it can be changed into a prime (36217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6033 + ... + 6038.

It is an arithmetic number, because the mean of its divisors is an integer number (12072).

2³⁶²¹³ is an apocalyptic number.

It is an amenable number.

36213 is a deficient number, since it is larger than the sum of its proper divisors (12075).

36213 is a wasteful number, since it uses less digits than its factorization.

36213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074.

The product of its digits is 108, while the sum is 15.

The square root of 36213 is about 190.2971360793. The cubic root of 36213 is about 33.0842658187.

Adding to 36213 its reverse (31263), we get a palindrome (67476).

Subtracting from 36213 its reverse (31263), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 3 and 6213, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 36213 in words is "thirty-six thousand, two hundred thirteen".