54901 has 16 divisors (see below), whose sum is σ = 73728. Its totient is φ = 39600.

The previous prime is 54881. The next prime is 54907. The reversal of 54901 is 10945.

It is not a de Polignac number, because 54901 - 2⁵ = 54869 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756 + ... + 1786.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

2⁵⁴⁹⁰¹ is an apocalyptic number.

It is an amenable number.

54901 is a deficient number, since it is larger than the sum of its proper divisors (18827).

54901 is a wasteful number, since it uses less digits than its factorization.

54901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 54901 is about 234.3096242155. The cubic root of 54901 is about 38.0066931885.

Subtracting from 54901 its reverse (10945), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 54901 in words is "fifty-four thousand, nine hundred one".