8042164 has 24 divisors (see below), whose sum is σ = 15681960. Its totient is φ = 3583104.

The previous prime is 8042159. The next prime is 8042183. The reversal of 8042164 is 4612408.

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 5664400 = 1542^2 + 2380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 4174.

It is an arithmetic number, because the mean of its divisors is an integer number (653415).

Almost surely, 2^8042164 is an apocalyptic number.

It is an amenable number.

8042164 is a deficient number, since it is larger than the sum of its proper divisors (7639796).

8042164 is a wasteful number, since it uses less digits than its factorization.

8042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8042164 is about 2835.8709420564. The cubic root of 8042164 is about 200.3507511751.

The spelling of 8042164 in words is "eight million, forty-two thousand, one hundred sixty-four".