21314000 has 40 divisors (see below), whose sum is σ = 51542088. Its totient is φ = 8524800.

The previous prime is 21313997. The next prime is 21314011. The reversal of 21314000 is 41312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 16613776 = 2168^2 + 4076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3329 + ... + 7328.

Almost surely, 2^21314000 is an apocalyptic number.

21314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314000 is an abundant number, since it is smaller than the sum of its proper divisors (30228088).

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

21314000 is a wasteful number, since it uses less digits than its factorization.

21314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21314000 is about 4616.7087844048. The cubic root of 21314000 is about 277.2607032646.

Adding to 21314000 its reverse (41312), we get a palindrome (21355312).

The spelling of 21314000 in words is "twenty-one million, three hundred fourteen thousand".