5214000 has 160 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1248000.

The previous prime is 5213993. The next prime is 5214017. The reversal of 5214000 is 4125.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65961 + ... + 66039.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^5214000 is an apocalyptic number.

5214000 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 5214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5214000 is an abundant number, since it is smaller than the sum of its proper divisors (13356240).

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

5214000 is a wasteful number, since it uses less digits than its factorization.

5214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

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

The square root of 5214000 is about 2283.4184898962. The cubic root of 5214000 is about 173.4031605580.

Adding to 5214000 its reverse (4125), we get a palindrome (5218125).

The spelling of 5214000 in words is "five million, two hundred fourteen thousand".