Search a number
-
+
2000997 = 33372003
BaseRepresentation
bin111101000100001100101
310202122212000
413220201211
51003012442
6110515513
723002545
oct7504145
93678760
102000997
111147419
12805b99
13550a2b
143a1325
15297d4c
hex1e8865

2000997 has 16 divisors (see below), whose sum is σ = 3046080. Its totient is φ = 1297296.

The previous prime is 2000989. The next prime is 2001037. The reversal of 2000997 is 7990002.

It is not a de Polignac number, because 2000997 - 23 = 2000989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2000997 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (190380).

22000997 is an apocalyptic number.

2000997 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2000997 is a deficient number, since it is larger than the sum of its proper divisors (1045083).

2000997 is a wasteful number, since it uses less digits than its factorization.

2000997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 2000997 is about 1414.5660111851. The cubic root of 2000997 is about 126.0130371997.

Adding to 2000997 its reverse (7990002), we get a palindrome (9990999).

The spelling of 2000997 in words is "two million, nine hundred ninety-seven", and thus it is an aban number.

Divisors: 1 3 9 27 37 111 333 999 2003 6009 18027 54081 74111 222333 666999 2000997