Search a number
-
+
9801333 = 321729472
BaseRepresentation
bin100101011000…
…111001110101
3200102221220100
4211120321311
510002120313
6550024313
7146211213
oct45307165
920387810
109801333
115594983
123348099
132052309
141431cb3
15cd9173
hex958e75

9801333 has 36 divisors (see below), whose sum is σ = 15844140. Its totient is φ = 5811456.

The previous prime is 9801317. The next prime is 9801349. The reversal of 9801333 is 3331089.

It is an interprime number because it is at equal distance from previous prime (9801317) and next prime (9801349).

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 3359889 = 2538^2 + 1833^2 .

It is not a de Polignac number, because 9801333 - 24 = 9801317 is a prime.

It is a super-2 number, since 2×98013332 = 192132257153778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9801297 and 9801306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9801383) 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 35 ways as a sum of consecutive naturals, for example, 208516 + ... + 208562.

It is an arithmetic number, because the mean of its divisors is an integer number (440115).

Almost surely, 29801333 is an apocalyptic number.

It is an amenable number.

9801333 is a deficient number, since it is larger than the sum of its proper divisors (6042807).

9801333 is a wasteful number, since it uses less digits than its factorization.

9801333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9801333 is about 3130.7080668756. The cubic root of 9801333 is about 214.0071983487.

The spelling of 9801333 in words is "nine million, eight hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 17 29 47 51 87 141 153 261 423 493 799 1363 1479 2209 2397 4089 4437 6627 7191 12267 19881 23171 37553 64061 69513 112659 192183 208539 337977 576549 1089037 3267111 9801333