54314000 has 80 divisors (see below), whose sum is σ = 141501360. Its totient is φ = 20044800.

The previous prime is 54313981. The next prime is 54314003. The reversal of 54314000 is 41345.

It can be written as a sum of positive squares in 8 ways, for example, as 16516096 + 37797904 = 4064^2 + 6148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 54314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54314003) 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, 24956 + ... + 27044.

It is an arithmetic number, because the mean of its divisors is an integer number (1768767).

Almost surely, 2^54314000 is an apocalyptic number.

54314000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70750680).

54314000 is an abundant number, since it is smaller than the sum of its proper divisors (87187360).

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

54314000 is a wasteful number, since it uses less digits than its factorization.

54314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 54314000 is about 7369.8032538189. The cubic root of 54314000 is about 378.7075202787.

Adding to 54314000 its reverse (41345), we get a palindrome (54355345).

The spelling of 54314000 in words is "fifty-four million, three hundred fourteen thousand".