42137 has 4 divisors (see below), whose sum is σ = 43620. Its totient is φ = 40656.

The previous prime is 42131. The next prime is 42139. The reversal of 42137 is 73124.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 8281 = 184^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 42137 - 2⁶ = 42073 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42137.

It is not an unprimeable number, because it can be changed into a prime (42131) 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, 698 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (10905).

2⁴²¹³⁷ is an apocalyptic number.

It is an amenable number.

42137 is a deficient number, since it is larger than the sum of its proper divisors (1483).

42137 is a wasteful number, since it uses less digits than its factorization.

42137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482.

The product of its digits is 168, while the sum is 17.

The square root of 42137 is about 205.2729889683. The cubic root of 42137 is about 34.7980203216.

The spelling of 42137 in words is "forty-two thousand, one hundred thirty-seven".