63058 has 8 divisors (see below), whose sum is σ = 97020. Its totient is φ = 30720.

The previous prime is 63031. The next prime is 63059. The reversal of 63058 is 85036.

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 6889 = 237^2 + 83^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×63058³ = 752214725973336, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63059) 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, 303 + ... + 466.

2⁶³⁰⁵⁸ is an apocalyptic number.

63058 is a deficient number, since it is larger than the sum of its proper divisors (33962).

63058 is a wasteful number, since it uses less digits than its factorization.

63058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 63058 is about 251.1135201458. The cubic root of 63058 is about 39.8027791970.

Subtracting from 63058 its sum of digits (22), we obtain a palindrome (63036).

The spelling of 63058 in words is "sixty-three thousand, fifty-eight".