63137 has 4 divisors (see below), whose sum is σ = 66480. Its totient is φ = 59796.

The previous prime is 63131. The next prime is 63149. The reversal of 63137 is 73136.

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.

It is a cyclic number.

It is not a de Polignac number, because 63137 - 2⁶ = 63073 is a prime.

It is an Ulam number.

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 63137.

It is not an unprimeable number, because it can be changed into a prime (63131) 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, 1643 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (16620).

2⁶³¹³⁷ is an apocalyptic number.

It is an amenable number.

63137 is a deficient number, since it is larger than the sum of its proper divisors (3343).

63137 is a wasteful number, since it uses less digits than its factorization.

63137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342.

The product of its digits is 378, while the sum is 20.

The square root of 63137 is about 251.2707702858. The cubic root of 63137 is about 39.8193940984.

Subtracting 63137 from its reverse (73136), we obtain a palindrome (9999).

The spelling of 63137 in words is "sixty-three thousand, one hundred thirty-seven".