48195 has 40 divisors (see below), whose sum is σ = 104544. Its totient is φ = 20736.

The previous prime is 48193. The next prime is 48197. The reversal of 48195 is 59184.

48195 = T₃₄ + T₃₅ + ... + T₆₈.

48195 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48193) and next prime (48197).

It is not a de Polignac number, because 48195 - 2¹ = 48193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (32).

48195 is a lucky number.

It is a nialpdrome in base 9 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48195.

It is not an unprimeable number, because it can be changed into a prime (48193) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2827 + ... + 2843.

2⁴⁸¹⁹⁵ is an apocalyptic number.

48195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48195 is an abundant number, since it is smaller than the sum of its proper divisors (56349).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272).

48195 is a wasteful number, since it uses less digits than its factorization.

48195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 32 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 48195 is about 219.5335965177. The cubic root of 48195 is about 36.3915590458.

It can be divided in two parts, 481 and 95, that added together give a square (576 = 24²).

The spelling of 48195 in words is "forty-eight thousand, one hundred ninety-five".