53881 has 2 divisors, whose sum is σ = 53882. Its totient is φ = 53880.

The previous prime is 53861. The next prime is 53887. The reversal of 53881 is 18835.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 7225 = 216^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 53881 - 2⁵ = 53849 is a prime.

It is a super-2 number, since 2×53881² = 5806324322, which contains 22 as substring.

53881 is a lucky number.

It is equal to p₅₄₈₈ and since 53881 and 5488 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (53887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26940 + 26941.

It is an arithmetic number, because the mean of its divisors is an integer number (26941).

2⁵³⁸⁸¹ is an apocalyptic number.

It is an amenable number.

53881 is a deficient number, since it is larger than the sum of its proper divisors (1).

53881 is an equidigital number, since it uses as much as digits as its factorization.

53881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 25.

The square root of 53881 is about 232.1228123214. The cubic root of 53881 is about 37.7698461498.

The spelling of 53881 in words is "fifty-three thousand, eight hundred eighty-one".