5355000 has 240 divisors, whose sum is σ = 21930480. Its totient is φ = 1152000.

The previous prime is 5354989. The next prime is 5355011. The reversal of 5355000 is 5535.

It is an interprime number because it is at equal distance from previous prime (5354989) and next prime (5355011).

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

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 59 ways as a sum of consecutive naturals, for example, 314992 + ... + 315008.

It is an arithmetic number, because the mean of its divisors is an integer number (91377).

Almost surely, 2^5355000 is an apocalyptic number.

5355000 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 5355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965240).

5355000 is an abundant number, since it is smaller than the sum of its proper divisors (16575480).

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

5355000 is a wasteful number, since it uses less digits than its factorization.

5355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5355000 is about 2314.0872930812. The cubic root of 5355000 is about 174.9523679889.

The spelling of 5355000 in words is "five million, three hundred fifty-five thousand".