Search a number
-
+
8997001 = 136131129
BaseRepresentation
bin100010010100…
…100010001001
3121221002120021
4202110202021
54300401001
6520500441
7136321216
oct42244211
917832507
108997001
115095642
12301a721
131b30190
1412a2b0d
15bcaba1
hex894889

8997001 has 8 divisors (see below), whose sum is σ = 9713480. Its totient is φ = 8284032.

The previous prime is 8996993. The next prime is 8997007. The reversal of 8997001 is 1007998.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 7557001 = 1200^2 + 2749^2 .

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 8997001 - 23 = 8996993 is a prime.

It is the 3000-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8997007) by changing a digit.

It is a nontrivial repunit in base 2999.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7405 + ... + 8533.

It is an arithmetic number, because the mean of its divisors is an integer number (1214185).

Almost surely, 28997001 is an apocalyptic number.

It is an amenable number.

8997001 is a deficient number, since it is larger than the sum of its proper divisors (716479).

8997001 is a wasteful number, since it uses less digits than its factorization.

8997001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 8997001 is about 2999.5001250208. The cubic root of 8997001 is about 207.9852754000.

The spelling of 8997001 in words is "eight million, nine hundred ninety-seven thousand, one".

Divisors: 1 13 613 1129 7969 14677 692077 8997001