61338 has 8 divisors (see below), whose sum is σ = 122688. Its totient is φ = 20444.

The previous prime is 61333. The next prime is 61339. The reversal of 61338 is 83316.

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

61338 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (61331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5106 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (15336).

2⁶¹³³⁸ is an apocalyptic number.

61338 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 (61344).

61338 is a wasteful number, since it uses less digits than its factorization.

61338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228.

The product of its digits is 432, while the sum is 21.

The square root of 61338 is about 247.6650964508. The cubic root of 61338 is about 39.4375448415.

Subtracting from 61338 its product of digits (432), we obtain a palindrome (60906).

The spelling of 61338 in words is "sixty-one thousand, three hundred thirty-eight".