63037 has 6 divisors (see below), whose sum is σ = 68442. Its totient is φ = 58032.

The previous prime is 63031. The next prime is 63059. The reversal of 63037 is 73036.

It is a happy number.

It is the 103-rd star number.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 63001 = 6^2 + 251^2 .

It is not a de Polignac number, because 63037 - 2³ = 63029 is a prime.

It is a Duffinian number.

63037 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (11407).

2⁶³⁰³⁷ is an apocalyptic number.

It is an amenable number.

63037 is a deficient number, since it is larger than the sum of its proper divisors (5405).

63037 is a wasteful number, since it uses less digits than its factorization.

63037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 63037 is about 251.0717029058. The cubic root of 63037 is about 39.7983602432.

Subtracting 63037 from its reverse (73036), we obtain a palindrome (9999).

The spelling of 63037 in words is "sixty-three thousand, thirty-seven".