52821000 has 96 divisors (see below), whose sum is σ = 178565400. Its totient is φ = 14083200.

The previous prime is 52820987. The next prime is 52821017. The reversal of 52821000 is 12825.

It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 47032164 = 2406^2 + 6858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6066 + ... + 11934.

Almost surely, 2^52821000 is an apocalyptic number.

52821000 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 52821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89282700).

52821000 is an abundant number, since it is smaller than the sum of its proper divisors (125744400).

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

52821000 is a wasteful number, since it uses less digits than its factorization.

52821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52821000 is about 7267.8057211238. The cubic root of 52821000 is about 375.2052210044.

Adding to 52821000 its reverse (12825), we get a palindrome (52833825).

It can be divided in two parts, 528 and 21000, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 52821000 in words is "fifty-two million, eight hundred twenty-one thousand".