48005667 has 12 divisors (see below), whose sum is σ = 69408144. Its totient is φ = 31973040.

The previous prime is 48005641. The next prime is 48005717. The reversal of 48005667 is 76650084.

It is a happy number.

It is not a de Polignac number, because 48005667 - 2¹¹ = 48003619 is a prime.

It is a super-2 number, since 2×48005667² = 4609088128229778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48005627) 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 11 ways as a sum of consecutive naturals, for example, 11242 + ... + 14912.

It is an arithmetic number, because the mean of its divisors is an integer number (5784012).

Almost surely, 2^48005667 is an apocalyptic number.

48005667 is a deficient number, since it is larger than the sum of its proper divisors (21402477).

48005667 is a wasteful number, since it uses less digits than its factorization.

48005667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48005667 is about 6928.6121987018. The cubic root of 48005667 is about 363.4384202569.

The spelling of 48005667 in words is "forty-eight million, five thousand, six hundred sixty-seven".