54021000 has 128 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 13088000.

The previous prime is 54020977. The next prime is 54021007. The reversal of 54021000 is 12045.

It is a super-3 number, since 3×54021000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32182 + ... + 33818.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 2^54021000 is an apocalyptic number.

54021000 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 54021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

54021000 is an abundant number, since it is smaller than the sum of its proper divisors (129959160).

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

54021000 is a wasteful number, since it uses less digits than its factorization.

54021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 54021000 is about 7349.8979584753. The cubic root of 54021000 is about 378.0253055481.

Adding to 54021000 its reverse (12045), we get a palindrome (54033045).

The spelling of 54021000 in words is "fifty-four million, twenty-one thousand".