213465 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 91584.

The previous prime is 213461. The next prime is 213467. The reversal of 213465 is 564312.

It is a happy number.

213465 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213465 - 2² = 213461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

213465 is strictly pandigital in base 7.

It is a Curzon number.

213465 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²¹³⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

213465 is a deficient number, since it is larger than the sum of its proper divisors (201255).

213465 is a wasteful number, since it uses less digits than its factorization.

213465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 720, while the sum is 21.

The square root of 213465 is about 462.0227267137. The cubic root of 213465 is about 59.7643535015.

Subtracting from 213465 its sum of digits (21), we obtain a square (213444 = 462²).

Adding to 213465 its product of digits (720), we get a triangular number (214185 = T₆₅₄).

Adding to 213465 its reverse (564312), we get a palindrome (777777).

It can be divided in two parts, 21 and 3465, that added together give a triangular number (3486 = T₈₃).

The spelling of 213465 in words is "two hundred thirteen thousand, four hundred sixty-five".