48077 has 4 divisors (see below), whose sum is σ = 48576. Its totient is φ = 47580.

The previous prime is 48073. The next prime is 48079. The reversal of 48077 is 77084.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 48077 - 2² = 48073 is a prime.

It is a super-3 number, since 3×48077³ = 333375234697599, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a plaindrome in base 16.

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 48077.

It is not an unprimeable number, because it can be changed into a prime (48073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (12144).

2⁴⁸⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

48077 is a deficient number, since it is larger than the sum of its proper divisors (499).

48077 is a wasteful number, since it uses less digits than its factorization.

48077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 48077 is about 219.2646802383. The cubic root of 48077 is about 36.3618345698.

The spelling of 48077 in words is "forty-eight thousand, seventy-seven".