8004114 has 24 divisors (see below), whose sum is σ = 17589312. Its totient is φ = 2630040.

The previous prime is 8004103. The next prime is 8004119. The reversal of 8004114 is 4114008.

8004114 = 5² + 6² + ... + 288².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8004119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1854 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (732888).

Almost surely, 2^8004114 is an apocalyptic number.

8004114 is an abundant number, since it is smaller than the sum of its proper divisors (9585198).

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

8004114 is a wasteful number, since it uses less digits than its factorization.

8004114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8004114 is about 2829.1542905964. The cubic root of 8004114 is about 200.0342774583.

It can be divided in two parts, 8004 and 114, that added together give a palindrome (8118).

The spelling of 8004114 in words is "eight million, four thousand, one hundred fourteen".