984164 has 24 divisors (see below), whose sum is σ = 1873368. Its totient is φ = 450560.

The previous prime is 984149. The next prime is 984167. The reversal of 984164 is 461489.

984164 = T₁₃₅ + T₁₃₆ + ... + T₂₀₂.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 940900 = 208^2 + 970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 984164.

It is not an unprimeable number, because it can be changed into a prime (984167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612 + ... + 2964.

It is an arithmetic number, because the mean of its divisors is an integer number (78057).

2⁹⁸⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

984164 is a deficient number, since it is larger than the sum of its proper divisors (889204).

984164 is a wasteful number, since it uses less digits than its factorization.

984164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 984164 is about 992.0504019454. The cubic root of 984164 is about 99.4693221249.

The spelling of 984164 in words is "nine hundred eighty-four thousand, one hundred sixty-four".