53006 has 8 divisors (see below), whose sum is σ = 84240. Its totient is φ = 24928.

The previous prime is 53003. The next prime is 53017. The reversal of 53006 is 60035.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53006.

It is not an unprimeable number, because it can be changed into a prime (53003) 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, 746 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2⁵³⁰⁰⁶ is an apocalyptic number.

53006 is a deficient number, since it is larger than the sum of its proper divisors (31234).

53006 is a wasteful number, since it uses less digits than its factorization.

53006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 53006 is about 230.2303194629. The cubic root of 53006 is about 37.5642749550.

The spelling of 53006 in words is "fifty-three thousand, six".