53137 has 4 divisors (see below), whose sum is σ = 60736. Its totient is φ = 45540.

The previous prime is 53129. The next prime is 53147. The reversal of 53137 is 73135.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73135 = 5 ⋅14627.

It is a cyclic number.

It is not a de Polignac number, because 53137 - 2³ = 53129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3789 + ... + 3802.

It is an arithmetic number, because the mean of its divisors is an integer number (15184).

2⁵³¹³⁷ is an apocalyptic number.

It is an amenable number.

53137 is a deficient number, since it is larger than the sum of its proper divisors (7599).

53137 is an equidigital number, since it uses as much as digits as its factorization.

53137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598.

The product of its digits is 315, while the sum is 19.

The square root of 53137 is about 230.5146416174. The cubic root of 53137 is about 37.5951951760.

It can be divided in two parts, 53 and 137, that added together give a triangular number (190 = T₁₉).

The spelling of 53137 in words is "fifty-three thousand, one hundred thirty-seven".