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413097973 is a prime number
BaseRepresentation
bin11000100111110…
…101111111110101
31001210022112212221
4120213311333311
51321223113343
6104554042341
713144163161
oct3047657765
91053275787
10413097973
111a2201692
12b64193b1
1367779292
143cc13ca1
15263ee5ed
hex189f5ff5

413097973 has 2 divisors, whose sum is σ = 413097974. Its totient is φ = 413097972.

The previous prime is 413097961. The next prime is 413097991. The reversal of 413097973 is 379790314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252746404 + 160351569 = 15898^2 + 12663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413097973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413097913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206548986 + 206548987.

It is an arithmetic number, because the mean of its divisors is an integer number (206548987).

Almost surely, 2413097973 is an apocalyptic number.

It is an amenable number.

413097973 is a deficient number, since it is larger than the sum of its proper divisors (1).

413097973 is an equidigital number, since it uses as much as digits as its factorization.

413097973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 413097973 is about 20324.8117580459. The cubic root of 413097973 is about 744.7623060460.

The spelling of 413097973 in words is "four hundred thirteen million, ninety-seven thousand, nine hundred seventy-three".