63006 has 8 divisors (see below), whose sum is σ = 126024. Its totient is φ = 21000.

The previous prime is 62989. The next prime is 63029. The reversal of 63006 is 60036.

63006 = 124² + 125² + ... + 127².

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

63006 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5245 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (15753).

2⁶³⁰⁰⁶ is an apocalyptic number.

63006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63012).

63006 is a wasteful number, since it uses less digits than its factorization.

63006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 63006 is about 251.0099599618. The cubic root of 63006 is about 39.7918352316.

The spelling of 63006 in words is "sixty-three thousand, six".