21462 has 24 divisors (see below), whose sum is σ = 50616. Its totient is φ = 6048.

The previous prime is 21433. The next prime is 21467. The reversal of 21462 is 26412.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

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 21462.

It is not an unprimeable number, because it can be changed into a prime (21467) by changing a digit.

21462 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 11 ways as a sum of consecutive naturals, for example, 258 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (2109).

2²¹⁴⁶² is an apocalyptic number.

It is a pronic number, being equal to 146×147.

It is a practical number, because each smaller number is the sum of distinct divisors of 21462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25308).

21462 is an abundant number, since it is smaller than the sum of its proper divisors (29154).

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

21462 is a wasteful number, since it uses less digits than its factorization.

21462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 21462 is about 146.4991467552. The cubic root of 21462 is about 27.7900970542.

Adding to 21462 its reverse (26412), we get a palindrome (47874).

Subtracting 21462 from its reverse (26412), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 214 and 62, that added together give a triangular number (276 = T₂₃).

The spelling of 21462 in words is "twenty-one thousand, four hundred sixty-two".