47965 has 8 divisors (see below), whose sum is σ = 58968. Its totient is φ = 37440.

The previous prime is 47963. The next prime is 47969. The reversal of 47965 is 56974.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 47524 = 21^2 + 218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 47965 - 2¹ = 47963 is a prime.

It is a Duffinian number.

47965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47963) 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 7 ways as a sum of consecutive naturals, for example, 175 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁴⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

47965 is a deficient number, since it is larger than the sum of its proper divisors (11003).

47965 is a wasteful number, since it uses less digits than its factorization.

47965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its digits is 7560, while the sum is 31.

The square root of 47965 is about 219.0091322297. The cubic root of 47965 is about 36.3335764837. Note that the first 3 decimals are identical.

Subtracting 47965 from its reverse (56974), we obtain a palindrome (9009).

The spelling of 47965 in words is "forty-seven thousand, nine hundred sixty-five".