49957 has 2 divisors, whose sum is σ = 49958. Its totient is φ = 49956.

The previous prime is 49943. The next prime is 49991. The reversal of 49957 is 75994.

It is an a-pointer prime, because the next prime (49991) can be obtained adding 49957 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 12321 = 194^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 49957 - 2¹⁵ = 17189 is a prime.

It is a super-3 number, since 3×49957³ = 374033331811479, which contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (49927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24978 + 24979.

It is an arithmetic number, because the mean of its divisors is an integer number (24979).

2⁴⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

49957 is a deficient number, since it is larger than the sum of its proper divisors (1).

49957 is an equidigital number, since it uses as much as digits as its factorization.

49957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 34.

The square root of 49957 is about 223.5106261456. The cubic root of 49957 is about 36.8297510672.

The spelling of 49957 in words is "forty-nine thousand, nine hundred fifty-seven".