48165 has 24 divisors (see below), whose sum is σ = 87840. Its totient is φ = 22464.

The previous prime is 48163. The next prime is 48179. The reversal of 48165 is 56184.

48165 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 not a de Polignac number, because 48165 - 2¹ = 48163 is a prime.

Its product of digits (960) is a multiple of the sum of its prime divisors (40).

It is a Curzon number.

It is a nialpdrome in base 15.

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 48165.

It is not an unprimeable number, because it can be changed into a prime (48163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2⁴⁸¹⁶⁵ is an apocalyptic number.

It is an amenable number.

48165 is a deficient number, since it is larger than the sum of its proper divisors (39675).

48165 is a wasteful number, since it uses less digits than its factorization.

48165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 48165 is about 219.4652592097. The cubic root of 48165 is about 36.3840065793.

Multiplying 48165 by its sum of digits (24), we get a triangular number (1155960 = T₁₅₂₀).

The spelling of 48165 in words is "forty-eight thousand, one hundred sixty-five".