21345000 has 80 divisors (see below), whose sum is σ = 66728640. Its totient is φ = 5688000.

The previous prime is 21344987. The next prime is 21345001. The reversal of 21345000 is 54312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21345001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14289 + ... + 15711.

It is an arithmetic number, because the mean of its divisors is an integer number (834108).

Almost surely, 2^21345000 is an apocalyptic number.

21345000 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 21345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33364320).

21345000 is an abundant number, since it is smaller than the sum of its proper divisors (45383640).

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

21345000 is a wasteful number, since it uses less digits than its factorization.

21345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 21345000 is about 4620.0649346086. The cubic root of 21345000 is about 277.3950581197.

Adding to 21345000 its reverse (54312), we get a palindrome (21399312).

The spelling of 21345000 in words is "twenty-one million, three hundred forty-five thousand".