212913792 has 256 divisors, whose sum is σ = 774547200. Its totient is φ = 56070144.

The previous prime is 212913781. The next prime is 212913793. The reversal of 212913792 is 297319212.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (212913793) 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 31 ways as a sum of consecutive naturals, for example, 314158 + ... + 314834.

It is an arithmetic number, because the mean of its divisors is an integer number (3025575).

Almost surely, 2^212913792 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 212913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387273600).

212913792 is an abundant number, since it is smaller than the sum of its proper divisors (561633408).

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

212913792 is a wasteful number, since it uses less digits than its factorization.

212913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 212913792 is about 14591.5657830131. The cubic root of 212913792 is about 597.1286811323.

The spelling of 212913792 in words is "two hundred twelve million, nine hundred thirteen thousand, seven hundred ninety-two".