65838 has 8 divisors (see below), whose sum is σ = 131688. Its totient is φ = 21944.

The previous prime is 65837. The next prime is 65839. The reversal of 65838 is 83856.

It is an interprime number because it is at equal distance from previous prime (65837) and next prime (65839).

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

65838 is an admirable number.

It is a d-powerful number, because it can be written as 6³ + 5 + 8⁵ + 3⁴ + 8⁵ .

It is an alternating number because its digits alternate between even and odd.

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 65838.

It is not an unprimeable number, because it can be changed into a prime (65831) 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, 5481 + ... + 5492.

It is an arithmetic number, because the mean of its divisors is an integer number (16461).

2⁶⁵⁸³⁸ is an apocalyptic number.

65838 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 (65844).

65838 is a wasteful number, since it uses less digits than its factorization.

65838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978.

The product of its digits is 5760, while the sum is 30.

The square root of 65838 is about 256.5891657884. The cubic root of 65838 is about 40.3793084253.

It can be divided in two parts, 658 and 38, that added together give a palindrome (696).

The spelling of 65838 in words is "sixty-five thousand, eight hundred thirty-eight".