84164004 has 18 divisors (see below), whose sum is σ = 212747990. Its totient is φ = 28054656.

The previous prime is 84163999. The next prime is 84164009. The reversal of 84164004 is 40046148.

It is an interprime number because it is at equal distance from previous prime (84163999) and next prime (84164009).

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 11573604 = 8520^2 + 3402^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (84164009) 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, 1168909 + ... + 1168980.

Almost surely, 2^84164004 is an apocalyptic number.

It is an amenable number.

84164004 is an abundant number, since it is smaller than the sum of its proper divisors (128583986).

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

84164004 is a wasteful number, since it uses less digits than its factorization.

84164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337899 (or 2337894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84164004 is about 9174.0941787187. The cubic root of 84164004 is about 438.2367519705.

The spelling of 84164004 in words is "eighty-four million, one hundred sixty-four thousand, four".