16356 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 5152.

The previous prime is 16349. The next prime is 16361. The reversal of 16356 is 65361.

16356 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 4.

It is an unprimeable number.

16356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁶³⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

16356 is an abundant number, since it is smaller than the sum of its proper divisors (23964).

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

16356 is a wasteful number, since it uses less digits than its factorization.

16356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 16356 is about 127.8905782300. The cubic root of 16356 is about 25.3839400823.

The spelling of 16356 in words is "sixteen thousand, three hundred fifty-six".