Search a number
-
+
10217997 = 321135333
BaseRepresentation
bin100110111110…
…101000001101
3201020010110100
4212332220031
510103433442
61003001313
7152565036
oct46765015
921203410
1010217997
115849a29
123509239
132169b6a
1414dda8d
15d6c84c
hex9bea0d

10217997 has 6 divisors (see below), whose sum is σ = 14759342. Its totient is φ = 6811992.

The previous prime is 10217989. The next prime is 10218007. The reversal of 10217997 is 79971201.

It can be written as a sum of positive squares in only one way, i.e., 9418761 + 799236 = 3069^2 + 894^2 .

It is not a de Polignac number, because 10217997 - 23 = 10217989 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 (10217917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567658 + ... + 567675.

Almost surely, 210217997 is an apocalyptic number.

It is an amenable number.

10217997 is a deficient number, since it is larger than the sum of its proper divisors (4541345).

10217997 is a wasteful number, since it uses less digits than its factorization.

10217997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135339 (or 1135336 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 10217997 is about 3196.5601824461. The cubic root of 10217997 is about 216.9977630780.

The spelling of 10217997 in words is "ten million, two hundred seventeen thousand, nine hundred ninety-seven".

Divisors: 1 3 9 1135333 3405999 10217997