16407 has 6 divisors (see below), whose sum is σ = 23712. Its totient is φ = 10932.

The previous prime is 16381. The next prime is 16411. The reversal of 16407 is 70461.

16407 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 16407 - 2¹⁰ = 15383 is a prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16407.

It is not an unprimeable number, because it can be changed into a prime (16417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 903 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (3952).

2¹⁶⁴⁰⁷ is an apocalyptic number.

16407 is a deficient number, since it is larger than the sum of its proper divisors (7305).

16407 is a wasteful number, since it uses less digits than its factorization.

16407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16407 is about 128.0898122413. The cubic root of 16407 is about 25.4102961131.

Adding to 16407 its reverse (70461), we get a palindrome (86868).

The spelling of 16407 in words is "sixteen thousand, four hundred seven".