37542 has 8 divisors (see below), whose sum is σ = 75096. Its totient is φ = 12512.

The previous prime is 37537. The next prime is 37547. The reversal of 37542 is 24573.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37537) and next prime (37547).

It is a sphenic number, since it is the product of 3 distinct primes.

37542 is an admirable number.

It is a plaindrome in base 8.

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 37542.

It is not an unprimeable number, because it can be changed into a prime (37547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3123 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (9387).

2³⁷⁵⁴² is an apocalyptic number.

37542 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (37548).

37542 is a wasteful number, since it uses less digits than its factorization.

37542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262.

The product of its digits is 840, while the sum is 21.

The square root of 37542 is about 193.7575804969. The cubic root of 37542 is about 33.4841389235.

The spelling of 37542 in words is "thirty-seven thousand, five hundred forty-two".