213508484 has 54 divisors (see below), whose sum is σ = 447991614. Its totient is φ = 88724160.

The previous prime is 213508483. The next prime is 213508487. The reversal of 213508484 is 484805312.

It can be written as a sum of positive squares in only one way, i.e., 130188100 + 83320384 = 11410^2 + 9128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213508483) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1309787 + ... + 1309949.

It is an arithmetic number, because the mean of its divisors is an integer number (8296141).

Almost surely, 2^213508484 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 213508484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223995807).

213508484 is an abundant number, since it is smaller than the sum of its proper divisors (234483130).

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

213508484 is a wasteful number, since it uses less digits than its factorization.

213508484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 213508484 is about 14611.9295098218. The cubic root of 213508484 is about 597.6841133566.

The spelling of 213508484 in words is "two hundred thirteen million, five hundred eight thousand, four hundred eighty-four".