5658 has 16 divisors (see below), whose sum is σ = 12096.
Its totient is φ = 1760.
The previous prime is 5657. The next prime is 5659. The reversal of 5658 is 8565.
5658 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.
It is an interprime number because it is at equal distance from previous prime (5657) and next prime (5659).
It is an alternating number because its digits alternate between odd and even.
5658 is an undulating number in base 9.
It is a Curzon number.
It is a plaindrome in base 12.
It is a nialpdrome in base 6.
It is not an unprimeable number, because it can be changed into a prime (5651) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 158.
It is an arithmetic number, because the mean of its divisors is an integer number (756).
25658 is an apocalyptic number.
5658 is an abundant number, since it is smaller than the sum of its proper divisors (6438).
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 (6048).
5658 is a wasteful number, since it uses less digits than its factorization.
5658 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69.
The product of its digits is 1200, while the sum is 24.
The square root of 5658 is about 75.2196782764.
The cubic root of 5658 is about 17.8191772443.
The spelling of 5658 in words is "five thousand, six hundred fifty-eight".