8005153 has 8 divisors (see below), whose sum is σ = 8661800. Its totient is φ = 7354368.

The previous prime is 8005141. The next prime is 8005169. The reversal of 8005153 is 3515008.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 7800849 = 452^2 + 2793^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8005153 - 2⁵ = 8005121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8005103) 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, 1633 + ... + 4321.

It is an arithmetic number, because the mean of its divisors is an integer number (1082725).

Almost surely, 2^8005153 is an apocalyptic number.

It is an amenable number.

8005153 is a deficient number, since it is larger than the sum of its proper divisors (656647).

8005153 is a wasteful number, since it uses less digits than its factorization.

8005153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 8005153 is about 2829.3379084160. The cubic root of 8005153 is about 200.0429324500.

The spelling of 8005153 in words is "eight million, five thousand, one hundred fifty-three".