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983731361 is a prime number
BaseRepresentation
bin111010101000101…
…000110010100001
32112120001201201212
4322220220302201
54003313400421
6241340435505
733243402314
oct7250506241
92476051655
10983731361
11465321a28
12235548b95
13128a62282
149491497b
155b56ae5b
hex3aa28ca1

983731361 has 2 divisors, whose sum is σ = 983731362. Its totient is φ = 983731360.

The previous prime is 983731349. The next prime is 983731373. The reversal of 983731361 is 163137389.

It is a balanced prime because it is at equal distance from previous prime (983731349) and next prime (983731373).

It can be written as a sum of positive squares in only one way, i.e., 871371361 + 112360000 = 29519^2 + 10600^2 .

It is a cyclic number.

It is not a de Polignac number, because 983731361 - 218 = 983469217 is a prime.

It is a super-2 number, since 2×9837313612 = 1935454781229824642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (983731261) 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 as a sum of consecutive naturals, namely, 491865680 + 491865681.

It is an arithmetic number, because the mean of its divisors is an integer number (491865681).

Almost surely, 2983731361 is an apocalyptic number.

It is an amenable number.

983731361 is a deficient number, since it is larger than the sum of its proper divisors (1).

983731361 is an equidigital number, since it uses as much as digits as its factorization.

983731361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 41.

The square root of 983731361 is about 31364.4920411602. The cubic root of 983731361 is about 994.5474440019.

The spelling of 983731361 in words is "nine hundred eighty-three million, seven hundred thirty-one thousand, three hundred sixty-one".