213116832 has 72 divisors (see below), whose sum is σ = 628520256. Its totient is φ = 71036352.

The previous prime is 213116831. The next prime is 213116837. The reversal of 213116832 is 238611312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 213116796 and 213116805.

It is not an unprimeable number, because it can be changed into a prime (213116831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5928 + ... + 21479.

It is an arithmetic number, because the mean of its divisors is an integer number (8729448).

Almost surely, 2^213116832 is an apocalyptic number.

It is an amenable number.

213116832 is an abundant number, since it is smaller than the sum of its proper divisors (415403424).

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

213116832 is an equidigital number, since it uses as much as digits as its factorization.

213116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27432 (or 27412 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 213116832 is about 14598.5215689809. The cubic root of 213116832 is about 597.3184331866.

The spelling of 213116832 in words is "two hundred thirteen million, one hundred sixteen thousand, eight hundred thirty-two".