213462 has 32 divisors (see below), whose sum is σ = 489600. Its totient is φ = 68904.

The previous prime is 213461. The next prime is 213467. The reversal of 213462 is 264312.

It is a happy number.

213462 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 3153 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2²¹³⁴⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

213462 is an abundant number, since it is smaller than the sum of its proper divisors (276138).

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

213462 is a wasteful number, since it uses less digits than its factorization.

213462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 213462 is about 462.0194801088. The cubic root of 213462 is about 59.7640735276.

Subtracting from 213462 its sum of digits (18), we obtain a square (213444 = 462²).

Adding to 213462 its reverse (264312), we get a palindrome (477774).

The spelling of 213462 in words is "two hundred thirteen thousand, four hundred sixty-two".