5646 has 8 divisors (see below), whose sum is σ = 11304. Its totient is φ = 1880.

The previous prime is 5641. The next prime is 5647. The reversal of 5646 is 6465.

5646 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

5646 is an admirable number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 465 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (1413).

2⁵⁶⁴⁶ is an apocalyptic number.

5646 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652).

5646 is a wasteful number, since it uses less digits than its factorization.

5646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its digits is 720, while the sum is 21.

The square root of 5646 is about 75.1398695767. The cubic root of 5646 is about 17.8065708182.

Subtracting from 5646 its sum of digits (21), we obtain a square (5625 = 75²).

The spelling of 5646 in words is "five thousand, six hundred forty-six".