52088 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 24448.

The previous prime is 52081. The next prime is 52103. The reversal of 52088 is 88025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52081) by changing a digit.

52088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁵²⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

52088 is a deficient number, since it is larger than the sum of its proper divisors (51592).

52088 is a wasteful number, since it uses less digits than its factorization.

52088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 52088 is about 228.2279562192. The cubic root of 52088 is about 37.3461548932.

Subtracting 52088 from its reverse (88025), we obtain a cube (35937 = 33³).

It can be divided in two parts, 5 and 2088, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 52088 in words is "fifty-two thousand, eighty-eight".