165213 has 16 divisors (see below), whose sum is σ = 254400. Its totient is φ = 105840.

The previous prime is 165211. The next prime is 165229. The reversal of 165213 is 312561.

165213 is a `hidden beast` number, since 1 + 652 + 13 = 666.

165213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165213 - 2¹ = 165211 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165211) 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, 678 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (15900).

2¹⁶⁵²¹³ is an apocalyptic number.

It is an amenable number.

165213 is a deficient number, since it is larger than the sum of its proper divisors (89187).

165213 is a wasteful number, since it uses less digits than its factorization.

165213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 165213 is about 406.4640205479. The cubic root of 165213 is about 54.8716566647.

Adding to 165213 its reverse (312561), we get a palindrome (477774).

It can be divided in two parts, 165 and 213, that added together give a triangular number (378 = T₂₇).

The spelling of 165213 in words is "one hundred sixty-five thousand, two hundred thirteen".