61938 has 32 divisors (see below), whose sum is σ = 145920. Its totient is φ = 19440.

The previous prime is 61933. The next prime is 61949. The reversal of 61938 is 83916.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2⁶¹⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72960).

61938 is an abundant number, since it is smaller than the sum of its proper divisors (83982).

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

61938 is a wasteful number, since it uses less digits than its factorization.

61938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 61938 is about 248.8734618235. The cubic root of 61938 is about 39.5657187247.

It can be divided in two parts, 61 and 938, that added together give a palindrome (999).

The spelling of 61938 in words is "sixty-one thousand, nine hundred thirty-eight".