213829632 has 120 divisors (see below), whose sum is σ = 639188550. Its totient is φ = 71221248.

The previous prime is 213829619. The next prime is 213829633. The reversal of 213829632 is 236928312.

213829632 is a `hidden beast` number, since 2 + 13 + 8 + 2 + 9 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 60466176 = 12384^2 + 7776^2 .

It is a super-2 number, since 2×213829632² = 91446223042510848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213829633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165244 + ... + 166532.

Almost surely, 2^213829632 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 213829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319594275).

213829632 is an abundant number, since it is smaller than the sum of its proper divisors (425358918).

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

213829632 is an equidigital number, since it uses as much as digits as its factorization.

213829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1294 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 213829632 is about 14622.9146205536. The cubic root of 213829632 is about 597.9836313532.

The spelling of 213829632 in words is "two hundred thirteen million, eight hundred twenty-nine thousand, six hundred thirty-two".