21141000 has 224 divisors, whose sum is σ = 76728600. Its totient is φ = 5443200.

The previous prime is 21140957. The next prime is 21141007. The reversal of 21141000 is 14112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 14699556 = 2538^2 + 3834^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21141007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 728986 + ... + 729014.

Almost surely, 2^21141000 is an apocalyptic number.

21141000 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 21141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38364300).

21141000 is an abundant number, since it is smaller than the sum of its proper divisors (55587600).

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

21141000 is an equidigital number, since it uses as much as digits as its factorization.

21141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21141000 is about 4597.9343188001. The cubic root of 21141000 is about 276.5085143117.

Adding to 21141000 its reverse (14112), we get a palindrome (21155112).

The spelling of 21141000 in words is "twenty-one million, one hundred forty-one thousand".