213504984 has 240 divisors, whose sum is σ = 753152400. Its totient is φ = 55313280.

The previous prime is 213504943. The next prime is 213505001. The reversal of 213504984 is 489405312.

213504984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548662 + ... + 549050.

It is an arithmetic number, because the mean of its divisors is an integer number (3138135).

Almost surely, 2^213504984 is an apocalyptic number.

213504984 is a gapful number since it is divisible by the number (24) 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 213504984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376576200).

213504984 is an abundant number, since it is smaller than the sum of its proper divisors (539647416).

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

213504984 is a wasteful number, since it uses less digits than its factorization.

213504984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 213504984 is about 14611.8097441761. The cubic root of 213504984 is about 597.6808474352.

The spelling of 213504984 in words is "two hundred thirteen million, five hundred four thousand, nine hundred eighty-four".