48137 has 4 divisors (see below), whose sum is σ = 49476. Its totient is φ = 46800.

The previous prime is 48131. The next prime is 48157. The reversal of 48137 is 73184.

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 17161 + 30976 = 131^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 48137 - 2⁴ = 48121 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 481 and 37 contains 48137 itself.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48137.

It is not an unprimeable number, because it can be changed into a prime (48131) 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, 614 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2⁴⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

48137 is a deficient number, since it is larger than the sum of its proper divisors (1339).

48137 is a wasteful number, since it uses less digits than its factorization.

48137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its digits is 672, while the sum is 23.

The square root of 48137 is about 219.4014585184. The cubic root of 48137 is about 36.3769547805.

The spelling of 48137 in words is "forty-eight thousand, one hundred thirty-seven".