52005 has 8 divisors (see below), whose sum is σ = 83232. Its totient is φ = 27728.

The previous prime is 51991. The next prime is 52009. The reversal of 52005 is 50025.

52005 = 45² + 46² + ... + 62².

52005 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 52005 - 2⁵ = 51973 is a prime.

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 52005.

It is not an unprimeable number, because it can be changed into a prime (52009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1719 + ... + 1748.

It is an arithmetic number, because the mean of its divisors is an integer number (10404).

2⁵²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

52005 is a deficient number, since it is larger than the sum of its proper divisors (31227).

52005 is a wasteful number, since it uses less digits than its factorization.

52005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475.

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 52005 is about 228.0460479815. The cubic root of 52005 is about 37.3263078475.

The spelling of 52005 in words is "fifty-two thousand, five".