48345 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 23360.

The previous prime is 48341. The next prime is 48353. The reversal of 48345 is 54384.

48345 = T₂₂ + T₂₃ + ... + T₆₆.

It is a happy number.

It is not a de Polignac number, because 48345 - 2² = 48341 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

48345 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁴⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

48345 is a deficient number, since it is larger than the sum of its proper divisors (36327).

48345 is a wasteful number, since it uses less digits than its factorization.

48345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its digits is 1920, while the sum is 24.

The square root of 48345 is about 219.8749644684. The cubic root of 48345 is about 36.4292744413.

It can be divided in two parts, 483 and 45, that added together give a triangular number (528 = T₃₂).

The spelling of 48345 in words is "forty-eight thousand, three hundred forty-five".