8002953 has 12 divisors (see below), whose sum is σ = 13211328. Its totient is φ = 4573080.

The previous prime is 8002931. The next prime is 8002961. The reversal of 8002953 is 3592008.

It is not a de Polignac number, because 8002953 - 2⁸ = 8002697 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

8002953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8000953) 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, 63453 + ... + 63578.

It is an arithmetic number, because the mean of its divisors is an integer number (1100944).

Almost surely, 2^8002953 is an apocalyptic number.

It is an amenable number.

8002953 is a deficient number, since it is larger than the sum of its proper divisors (5208375).

8002953 is a wasteful number, since it uses less digits than its factorization.

8002953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127044 (or 127041 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 8002953 is about 2828.9490981635. The cubic root of 8002953 is about 200.0246053061.

The spelling of 8002953 in words is "eight million, two thousand, nine hundred fifty-three".