13758 has 8 divisors (see below), whose sum is σ = 27528. Its totient is φ = 4584.

The previous prime is 13757. The next prime is 13759. The reversal of 13758 is 85731.

It is an interprime number because it is at equal distance from previous prime (13757) and next prime (13759).

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

13758 is an admirable number.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13751) 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, 1141 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (3441).

2¹³⁷⁵⁸ is an apocalyptic number.

13758 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 (13764).

13758 is a wasteful number, since it uses less digits than its factorization.

13758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298.

The product of its digits is 840, while the sum is 24.

The square root of 13758 is about 117.2945011499. The cubic root of 13758 is about 23.9617446098.

The spelling of 13758 in words is "thirteen thousand, seven hundred fifty-eight".