52137 has 8 divisors (see below), whose sum is σ = 77280. Its totient is φ = 34740.

The previous prime is 52127. The next prime is 52147. The reversal of 52137 is 73125.

52137 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (52127) and next prime (52147).

It is not a de Polignac number, because 52137 - 2⁴ = 52121 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2⁵²¹³⁷ is an apocalyptic number.

It is an amenable number.

52137 is a deficient number, since it is larger than the sum of its proper divisors (25143).

52137 is a wasteful number, since it uses less digits than its factorization.

52137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 52137 is about 228.3352797971. The cubic root of 52137 is about 37.3578619278.

The spelling of 52137 in words is "fifty-two thousand, one hundred thirty-seven".