84213792 has 144 divisors (see below), whose sum is σ = 261975168. Its totient is φ = 25505280.

The previous prime is 84213791. The next prime is 84213793. The reversal of 84213792 is 29731248.

It is an interprime number because it is at equal distance from previous prime (84213791) and next prime (84213793).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (84213791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310617 + ... + 310887.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 2^84213792 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 84213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130987584).

84213792 is an abundant number, since it is smaller than the sum of its proper divisors (177761376).

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

84213792 is a wasteful number, since it uses less digits than its factorization.

84213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 84213792 is about 9176.8072879406. The cubic root of 84213792 is about 438.3231492796.

The spelling of 84213792 in words is "eighty-four million, two hundred thirteen thousand, seven hundred ninety-two".