37242 has 12 divisors (see below), whose sum is σ = 80730. Its totient is φ = 12408.

The previous prime is 37223. The next prime is 37243. The reversal of 37242 is 24273.

It is a happy number.

37242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 1521 = 189^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2069 = 37242 / (3 + 7 + 2 + 4 + 2).

It is a d-powerful number, because it can be written as 3⁵ + 7 + 2⁷ + 4⁶ + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37242.

It is not an unprimeable number, because it can be changed into a prime (37243) 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, 1017 + ... + 1052.

2³⁷²⁴² is an apocalyptic number.

37242 is an abundant number, since it is smaller than the sum of its proper divisors (43488).

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

37242 is a wasteful number, since it uses less digits than its factorization.

37242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2074 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 37242 is about 192.9818644329. The cubic root of 37242 is about 33.3947091432.

It can be divided in two parts, 372 and 42, that added together give a palindrome (414).

The spelling of 37242 in words is "thirty-seven thousand, two hundred forty-two".