61842 has 16 divisors (see below), whose sum is σ = 135072. Its totient is φ = 18720.

The previous prime is 61837. The next prime is 61843. The reversal of 61842 is 24816.

61842 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (8442).

2⁶¹⁸⁴² is an apocalyptic number.

61842 is an abundant number, since it is smaller than the sum of its proper divisors (73230).

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 (67536).

61842 is a wasteful number, since it uses less digits than its factorization.

61842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953.

The product of its digits is 384, while the sum is 21.

The square root of 61842 is about 248.6805179342. The cubic root of 61842 is about 39.5452666970.

Adding to 61842 its product of digits (384), we get a palindrome (62226).

It can be divided in two parts, 61 and 842, that added together give a triangular number (903 = T₄₂).

The spelling of 61842 in words is "sixty-one thousand, eight hundred forty-two".