47977 has 2 divisors, whose sum is σ = 47978. Its totient is φ = 47976.

The previous prime is 47969. The next prime is 47981. The reversal of 47977 is 77974.

47977 is nontrivially palindromic in base 9.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 16 = 219^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 47977 - 2³ = 47969 is a prime.

47977 is an undulating number in base 9.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (47917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23988 + 23989.

It is an arithmetic number, because the mean of its divisors is an integer number (23989).

2⁴⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

47977 is a deficient number, since it is larger than the sum of its proper divisors (1).

47977 is an equidigital number, since it uses as much as digits as its factorization.

47977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12348, while the sum is 34.

The square root of 47977 is about 219.0365266343. The cubic root of 47977 is about 36.3366062385.

It can be divided in two parts, 47 and 977, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 47977 in words is "forty-seven thousand, nine hundred seventy-seven".