52035 has 8 divisors (see below), whose sum is σ = 83280. Its totient is φ = 27744.

The previous prime is 52027. The next prime is 52051. The reversal of 52035 is 53025.

52035 is digitally balanced in base 2, because in such base 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 not a de Polignac number, because 52035 - 2³ = 52027 is a prime.

It is a super-3 number, since 3×52035³ = 422676333428625, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 3469 = 52035 / (5 + 2 + 0 + 3 + 5).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (10410).

2⁵²⁰³⁵ is an apocalyptic number.

52035 is a deficient number, since it is larger than the sum of its proper divisors (31245).

52035 is a wasteful number, since it uses less digits than its factorization.

52035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 52035 is about 228.1118146874. Note that the first 3 decimals coincide. The cubic root of 52035 is about 37.3334839138. Note that the first 3 decimals are identical.

Subtracting 52035 from its reverse (53025), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 520 and 35, that added together give a palindrome (555).

The spelling of 52035 in words is "fifty-two thousand, thirty-five".