61839 has 6 divisors (see below), whose sum is σ = 89336. Its totient is φ = 41220.

The previous prime is 61837. The next prime is 61843. The reversal of 61839 is 93816.

61839 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 61839 - 2¹ = 61837 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

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 61839.

It is not an unprimeable number, because it can be changed into a prime (61837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3427 + ... + 3444.

2⁶¹⁸³⁹ is an apocalyptic number.

61839 is a deficient number, since it is larger than the sum of its proper divisors (27497).

61839 is a wasteful number, since it uses less digits than its factorization.

61839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6874 counting only the distinct ones).

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

The square root of 61839 is about 248.6744860254. The cubic root of 61839 is about 39.5446272302.

It can be divided in two parts, 61 and 839, that added together give a square (900 = 30²).

The spelling of 61839 in words is "sixty-one thousand, eight hundred thirty-nine".