213006984 has 32 divisors (see below), whose sum is σ = 532980000. Its totient is φ = 70940672.

The previous prime is 213006977. The next prime is 213007009. The reversal of 213006984 is 489600312.

213006984 is nontrivially palindromic in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30667 + ... + 36965.

It is an arithmetic number, because the mean of its divisors is an integer number (16655625).

Almost surely, 2^213006984 is an apocalyptic number.

213006984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213006984 is an abundant number, since it is smaller than the sum of its proper divisors (319973016).

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

213006984 is a wasteful number, since it uses less digits than its factorization.

213006984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 213006984 is about 14594.7587852626. The cubic root of 213006984 is about 597.2157891562.

The spelling of 213006984 in words is "two hundred thirteen million, six thousand, nine hundred eighty-four".