16317000 has 288 divisors, whose sum is σ = 65889720. Its totient is φ = 3628800.

The previous prime is 16316947. The next prime is 16317011. The reversal of 16317000 is 71361.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 7918596 = 2898^2 + 2814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440982 + ... + 441018.

Almost surely, 2^16317000 is an apocalyptic number.

16317000 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 16317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944860).

16317000 is an abundant number, since it is smaller than the sum of its proper divisors (49572720).

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

16317000 is a wasteful number, since it uses less digits than its factorization.

16317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 16317000 is about 4039.4306529510. The cubic root of 16317000 is about 253.6374847980.

Adding to 16317000 its reverse (71361), we get a palindrome (16388361).

The spelling of 16317000 in words is "sixteen million, three hundred seventeen thousand".