84305376 has 36 divisors (see below), whose sum is σ = 239744232. Its totient is φ = 28101696.

The previous prime is 84305371. The next prime is 84305381. The reversal of 84305376 is 67350348.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84305371) and next prime (84305381).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84305376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84305371) 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 5 ways as a sum of consecutive naturals, for example, 146076 + ... + 146651.

It is an arithmetic number, because the mean of its divisors is an integer number (6659562).

Almost surely, 2^84305376 is an apocalyptic number.

It is an amenable number.

84305376 is an abundant number, since it is smaller than the sum of its proper divisors (155438856).

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

84305376 is a wasteful number, since it uses less digits than its factorization.

84305376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292743 (or 292732 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 84305376 is about 9181.7959027632. The cubic root of 84305376 is about 438.4819864603.

It can be divided in two parts, 84305 and 376, that added together give a square (84681 = 291²).

The spelling of 84305376 in words is "eighty-four million, three hundred five thousand, three hundred seventy-six".