54213000 has 128 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 13593600.

The previous prime is 54212987. The next prime is 54213013. The reversal of 54213000 is 31245.

54213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54212987) and next prime (54213013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50469 + ... + 51531.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^54213000 is an apocalyptic number.

54213000 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 54213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

54213000 is an abundant number, since it is smaller than the sum of its proper divisors (125049720).

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

54213000 is a wasteful number, since it uses less digits than its factorization.

54213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 54213000 is about 7362.9477792525. The cubic root of 54213000 is about 378.4726318331.

Adding to 54213000 its reverse (31245), we get a palindrome (54244245).

The spelling of 54213000 in words is "fifty-four million, two hundred thirteen thousand".