54601 has 2 divisors, whose sum is σ = 54602. Its totient is φ = 54600.

The previous prime is 54583. The next prime is 54617. The reversal of 54601 is 10645.

54601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (54617) can be obtained adding 54601 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 22201 = 180^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 54601 - 2¹¹ = 52553 is a prime.

It is not a weakly prime, because it can be changed into another prime (54631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27300 + 27301.

It is an arithmetic number, because the mean of its divisors is an integer number (27301).

2⁵⁴⁶⁰¹ is an apocalyptic number.

54601 is the 105-th centered decagonal number.

It is an amenable number.

54601 is a deficient number, since it is larger than the sum of its proper divisors (1).

54601 is an equidigital number, since it uses as much as digits as its factorization.

54601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54601 is about 233.6685687036. The cubic root of 54601 is about 37.9373390205.

Subtracting from 54601 its reverse (10645), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 5 and 4601, that multiplied together give a triangular number (23005 = T₂₁₄).

The spelling of 54601 in words is "fifty-four thousand, six hundred one".