21160 has 24 divisors (see below), whose sum is σ = 49770. Its totient is φ = 8096.

The previous prime is 21157. The next prime is 21163. The reversal of 21160 is 6112.

It is an interprime number because it is at equal distance from previous prime (21157) and next prime (21163).

It can be written as a sum of positive squares in only one way, i.e., 19044 + 2116 = 138^2 + 46^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909 + ... + 931.

2²¹¹⁶⁰ is an apocalyptic number.

21160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24885).

21160 is an abundant number, since it is smaller than the sum of its proper divisors (28610).

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

21160 is a wasteful number, since it uses less digits than its factorization.

21160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 21160 is about 145.4647723677. The cubic root of 21160 is about 27.6591324786.

Multiplying 21160 by its sum of digits (10), we get a square (211600 = 460²).

21160 divided by its sum of digits (10) gives a square (2116 = 46²).

Adding to 21160 its reverse (6112), we get a palindrome (27272).

It can be divided in two parts, 21 and 160, that added together give a palindrome (181).

The spelling of 21160 in words is "twenty-one thousand, one hundred sixty".