61838 has 12 divisors (see below), whose sum is σ = 108072. Its totient is φ = 26460.

The previous prime is 61837. The next prime is 61843. The reversal of 61838 is 83816.

61838 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a congruent number.

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, 218 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (9006).

2⁶¹⁸³⁸ is an apocalyptic number.

61838 is a deficient number, since it is larger than the sum of its proper divisors (46234).

61838 is a wasteful number, since it uses less digits than its factorization.

61838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 61838 is about 248.6724753566. The cubic root of 61838 is about 39.5444140700.

It can be divided in two parts, 618 and 38, that added together give a palindrome (656).

The spelling of 61838 in words is "sixty-one thousand, eight hundred thirty-eight".