213100992 has 168 divisors, whose sum is σ = 665683200. Its totient is φ = 64788480.

The previous prime is 213100931. The next prime is 213100997. The reversal of 213100992 is 299001312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213100997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1115617 + ... + 1115807.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^213100992 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 213100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

213100992 is an abundant number, since it is smaller than the sum of its proper divisors (452582208).

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

213100992 is a wasteful number, since it uses less digits than its factorization.

213100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 213100992 is about 14597.9790382094. The cubic root of 213100992 is about 597.3036341704.

It can be divided in two parts, 21 and 3100992, that added together give a palindrome (3101013).

The spelling of 213100992 in words is "two hundred thirteen million, one hundred thousand, nine hundred ninety-two".