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6984965 = 513412621
BaseRepresentation
bin11010101001010100000101
3111010212120102
4122221110011
53242004330
6405413445
7113241221
oct32512405
914125512
106984965
113a409a9
12240a285
1315a7420
14cdb781
1592e945
hex6a9505

6984965 has 16 divisors (see below), whose sum is σ = 9250416. Its totient is φ = 5030400.

The previous prime is 6984961. The next prime is 6984979. The reversal of 6984965 is 5694896.

It can be written as a sum of positive squares in 8 ways, for example, as 923521 + 6061444 = 961^2 + 2462^2 .

It is not a de Polignac number, because 6984965 - 22 = 6984961 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984961) 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, 1355 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (578151).

Almost surely, 26984965 is an apocalyptic number.

6984965 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6984965 is a deficient number, since it is larger than the sum of its proper divisors (2265451).

6984965 is a wasteful number, since it uses less digits than its factorization.

6984965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680.

The product of its digits is 466560, while the sum is 47.

The square root of 6984965 is about 2642.9084357957. The cubic root of 6984965 is about 191.1560633421.

The spelling of 6984965 in words is "six million, nine hundred eighty-four thousand, nine hundred sixty-five".

Divisors: 1 5 13 41 65 205 533 2621 2665 13105 34073 107461 170365 537305 1396993 6984965