49977 has 10 divisors (see below), whose sum is σ = 74778. Its totient is φ = 33264.

The previous prime is 49957. The next prime is 49991. The reversal of 49977 is 77994.

49977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 20736 = 171^2 + 144^2 .

It is not a de Polignac number, because 49977 - 2¹⁰ = 48953 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (49927) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 228 + ... + 389.

2⁴⁹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

49977 is a deficient number, since it is larger than the sum of its proper divisors (24801).

49977 is an equidigital number, since it uses as much as digits as its factorization.

49977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 49977 is about 223.5553622707. Note that the first 3 decimals coincide. The cubic root of 49977 is about 36.8346652717.

It can be divided in two parts, 499 and 77, that added together give a square (576 = 24²).

The spelling of 49977 in words is "forty-nine thousand, nine hundred seventy-seven".