213625984 has 96 divisors (see below), whose sum is σ = 504248220. Its totient is φ = 89548800.

The previous prime is 213625969. The next prime is 213625999. The reversal of 213625984 is 489526312.

It is an interprime number because it is at equal distance from previous prime (213625969) and next prime (213625999).

It can be written as a sum of positive squares in 2 ways, for example, as 210830400 + 2795584 = 14520^2 + 1672^2 .

It is a super-2 number, since 2×213625984² = 91272122079936512, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 200814 + ... + 201874.

Almost surely, 2^213625984 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 213625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252124110).

213625984 is an abundant number, since it is smaller than the sum of its proper divisors (290622236).

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

213625984 is a wasteful number, since it uses less digits than its factorization.

213625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1087 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 213625984 is about 14615.9496441388. The cubic root of 213625984 is about 597.7937343002.

The spelling of 213625984 in words is "two hundred thirteen million, six hundred twenty-five thousand, nine hundred eighty-four".