53857 has 2 divisors, whose sum is σ = 53858. Its totient is φ = 53856.

The previous prime is 53849. The next prime is 53861. The reversal of 53857 is 75835.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 13456 = 201^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 53857 - 2³ = 53849 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (53887) 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, 26928 + 26929.

It is an arithmetic number, because the mean of its divisors is an integer number (26929).

2⁵³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

53857 is a deficient number, since it is larger than the sum of its proper divisors (1).

53857 is an equidigital number, since it uses as much as digits as its factorization.

53857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 53857 is about 232.0711097918. The cubic root of 53857 is about 37.7642374260.

It can be divided in two parts, 538 and 57, that added together give a palindrome (595).

The spelling of 53857 in words is "fifty-three thousand, eight hundred fifty-seven".