16213000 has 64 divisors (see below), whose sum is σ = 39237120. Its totient is φ = 6264000.

The previous prime is 16212983. The next prime is 16213013. The reversal of 16213000 is 31261.

It is a super-2 number, since 2×16213000² = 525722738000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 30739 + ... + 31261.

It is an arithmetic number, because the mean of its divisors is an integer number (613080).

Almost surely, 2^16213000 is an apocalyptic number.

16213000 is a gapful number since it is divisible by the number (10) 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 16213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618560).

16213000 is an abundant number, since it is smaller than the sum of its proper divisors (23024120).

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

16213000 is a wasteful number, since it uses less digits than its factorization.

16213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 16213000 is about 4026.5369736288. The cubic root of 16213000 is about 253.0974643623.

Adding to 16213000 its reverse (31261), we get a palindrome (16244261).

The spelling of 16213000 in words is "sixteen million, two hundred thirteen thousand".