213460 has 24 divisors (see below), whose sum is σ = 483336. Its totient is φ = 78720.

The previous prime is 213449. The next prime is 213461. The reversal of 213460 is 64312.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 213444 = 4^2 + 462^2 .

It is a nialpdrome in base 13.

It is a congruent number.

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

213460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (20139).

2²¹³⁴⁶⁰ is an apocalyptic number.

213460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213460 is an abundant number, since it is smaller than the sum of its proper divisors (269876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213460 is a wasteful number, since it uses less digits than its factorization.

213460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213460 is about 462.0173156928. The cubic root of 213460 is about 59.7638868768.

Subtracting from 213460 its sum of digits (16), we obtain a square (213444 = 462²).

Adding to 213460 its reverse (64312), we get a palindrome (277772).

It can be divided in two parts, 21 and 3460, that added together give a square (3481 = 59²).

The spelling of 213460 in words is "two hundred thirteen thousand, four hundred sixty".