53401 has 2 divisors, whose sum is σ = 53402. Its totient is φ = 53400.

The previous prime is 53381. The next prime is 53407. The reversal of 53401 is 10435.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 15376 = 195^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 53401 - 2⁹ = 52889 is a prime.

It is not a weakly prime, because it can be changed into another prime (53407) 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, 26700 + 26701.

It is an arithmetic number, because the mean of its divisors is an integer number (26701).

2⁵³⁴⁰¹ is an apocalyptic number.

It is an amenable number.

53401 is a deficient number, since it is larger than the sum of its proper divisors (1).

53401 is an equidigital number, since it uses as much as digits as its factorization.

53401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 53401 is about 231.0865638673. The cubic root of 53401 is about 37.6573536203.

Adding to 53401 its reverse (10435), we get a palindrome (63836).

It can be divided in two parts, 53 and 401, that added together give a palindrome (454).

The spelling of 53401 in words is "fifty-three thousand, four hundred one".