48069 has 18 divisors (see below), whose sum is σ = 81510. Its totient is φ = 27216.

The previous prime is 48049. The next prime is 48073. The reversal of 48069 is 96084.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 3969 = 210^2 + 63^2 .

It is not a de Polignac number, because 48069 - 2¹¹ = 46021 is a prime.

It is a super-3 number, since 3×48069³ = 333208841737527, which contains 333 as substring. Note that it is a super-d number also for d = 2.

48069 is a lucky number.

It is a plaindrome in base 12.

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 48069.

It is not an unprimeable number, because it can be changed into a prime (48029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387 + ... + 495.

2⁴⁸⁰⁶⁹ is an apocalyptic number.

48069 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

48069 is a deficient number, since it is larger than the sum of its proper divisors (33441).

48069 is a wasteful number, since it uses less digits than its factorization.

48069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48069 is about 219.2464366871. The cubic root of 48069 is about 36.3598175914.

The spelling of 48069 in words is "forty-eight thousand, sixty-nine".