37842 has 32 divisors (see below), whose sum is σ = 93312. Its totient is φ = 9984.

The previous prime is 37831. The next prime is 37847. The reversal of 37842 is 24873.

37842 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 nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37842.

It is not an unprimeable number, because it can be changed into a prime (37847) by changing a digit.

37842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (2916).

2³⁷⁸⁴² is an apocalyptic number.

37842 is the 159-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656).

37842 is an abundant number, since it is smaller than the sum of its proper divisors (55470).

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

37842 is a wasteful number, since it uses less digits than its factorization.

37842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its digits is 1344, while the sum is 24.

The square root of 37842 is about 194.5302033104. The cubic root of 37842 is about 33.5730935388.

It can be divided in two parts, 378 and 42, that multiplied together give a square (15876 = 126²).

The spelling of 37842 in words is "thirty-seven thousand, eight hundred forty-two".