5329000 has 48 divisors (see below), whose sum is σ = 12643020. Its totient is φ = 2102400.

The previous prime is 5328997. The next prime is 5329003. The reversal of 5329000 is 9235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5329000 is nontrivially palindromic in base 3 and base 9.

It is an interprime number because it is at equal distance from previous prime (5328997) and next prime (5329003).

It can be written as a sum of positive squares in 6 ways, for example, as 320356 + 5008644 = 566^2 + 2238^2 .

It is not an unprimeable number, because it can be changed into a prime (5329003) 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, 72964 + ... + 73036.

Almost surely, 2^5329000 is an apocalyptic number.

5329000 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 5329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321510).

5329000 is an abundant number, since it is smaller than the sum of its proper divisors (7314020).

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

5329000 is an equidigital number, since it uses as much as digits as its factorization.

5329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 5329000 is about 2308.4626919229. The cubic root of 5329000 is about 174.6687611841.

The spelling of 5329000 in words is "five million, three hundred twenty-nine thousand".