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40801337 is a prime number
BaseRepresentation
bin1001101110100…
…1010000111001
32211202220220122
42123221100321
540421120322
64014303025
71003543223
oct233512071
984686818
1040801337
1121038715
12117b7a75
1385b7505
1455c1413
1538ae442
hex26e9439

40801337 has 2 divisors, whose sum is σ = 40801338. Its totient is φ = 40801336.

The previous prime is 40801307. The next prime is 40801339. The reversal of 40801337 is 73310804.

40801337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28558336 + 12243001 = 5344^2 + 3499^2 .

It is a cyclic number.

It is not a de Polignac number, because 40801337 - 210 = 40800313 is a prime.

Together with 40801339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40801339) 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, 20400668 + 20400669.

It is an arithmetic number, because the mean of its divisors is an integer number (20400669).

Almost surely, 240801337 is an apocalyptic number.

It is an amenable number.

40801337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40801337 is an equidigital number, since it uses as much as digits as its factorization.

40801337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 40801337 is about 6387.5924259458. The cubic root of 40801337 is about 344.2638845273.

The spelling of 40801337 in words is "forty million, eight hundred one thousand, three hundred thirty-seven".