16507 has 4 divisors (see below), whose sum is σ = 17496. Its totient is φ = 15520.

The previous prime is 16493. The next prime is 16519. The reversal of 16507 is 70561.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70561 = 41 ⋅1721.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16507 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

16507 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (16547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (4374).

2¹⁶⁵⁰⁷ is an apocalyptic number.

16507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

16507 is a deficient number, since it is larger than the sum of its proper divisors (989).

16507 is an equidigital number, since it uses as much as digits as its factorization.

16507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 16507 is about 128.4795703604. The cubic root of 16507 is about 25.4618164912.

The spelling of 16507 in words is "sixteen thousand, five hundred seven".