8972005 has 24 divisors (see below), whose sum is σ = 13085568. Its totient is φ = 5783808.

The previous prime is 8971979. The next prime is 8972023. The reversal of 8972005 is 5002798.

8972005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8972005 - 2⁵ = 8971973 is a prime.

It is a Duffinian number.

8972005 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9672 + ... + 10558.

It is an arithmetic number, because the mean of its divisors is an integer number (545232).

Almost surely, 2^8972005 is an apocalyptic number.

8972005 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8972005 is a deficient number, since it is larger than the sum of its proper divisors (4113563).

8972005 is a wasteful number, since it uses less digits than its factorization.

8972005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 8972005 is about 2995.3305326792. The cubic root of 8972005 is about 207.7924844197.

The spelling of 8972005 in words is "eight million, nine hundred seventy-two thousand, five".