54950 has 24 divisors (see below), whose sum is σ = 117552. Its totient is φ = 18720.

The previous prime is 54949. The next prime is 54959. The reversal of 54950 is 5945.

54950 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (4898).

2⁵⁴⁹⁵⁰ is an apocalyptic number.

54950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54950 is an abundant number, since it is smaller than the sum of its proper divisors (62602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58776).

54950 is a wasteful number, since it uses less digits than its factorization.

54950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 54950 is about 234.4141633946. The cubic root of 54950 is about 38.0179970153.

The spelling of 54950 in words is "fifty-four thousand, nine hundred fifty".