5211624 has 64 divisors (see below), whose sum is σ = 14976000. Its totient is φ = 1494720.

The previous prime is 5211623. The next prime is 5211631. The reversal of 5211624 is 4261125.

5211624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5211624² = 54322049434752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5211624.

It is not an unprimeable number, because it can be changed into a prime (5211623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 2^5211624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5211624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488000).

5211624 is an abundant number, since it is smaller than the sum of its proper divisors (9764376).

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

5211624 is a wasteful number, since it uses less digits than its factorization.

5211624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 5211624 is about 2282.8981580438. The cubic root of 5211624 is about 173.3768168354.

Adding to 5211624 its reverse (4261125), we get a palindrome (9472749).

It can be divided in two parts, 521 and 1624, that added together give a triangular number (2145 = T₆₅).

The spelling of 5211624 in words is "five million, two hundred eleven thousand, six hundred twenty-four".