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401107697 is a prime number
BaseRepresentation
bin10111111010000…
…110101011110001
31000221202101022122
4113322012223301
51310140421242
6103445044025
712640234124
oct2772065361
91027671278
10401107697
11196462171
12b23b6615
136513b843
143b3b23bb
1525331ad2
hex17e86af1

401107697 has 2 divisors, whose sum is σ = 401107698. Its totient is φ = 401107696.

The previous prime is 401107691. The next prime is 401107699. The reversal of 401107697 is 796701104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356605456 + 44502241 = 18884^2 + 6671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401107697 is a prime.

Together with 401107699, 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 (401107691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200553848 + 200553849.

It is an arithmetic number, because the mean of its divisors is an integer number (200553849).

Almost surely, 2401107697 is an apocalyptic number.

It is an amenable number.

401107697 is a deficient number, since it is larger than the sum of its proper divisors (1).

401107697 is an equidigital number, since it uses as much as digits as its factorization.

401107697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 401107697 is about 20027.6732797397. The cubic root of 401107697 is about 737.4858046487.

The spelling of 401107697 in words is "four hundred one million, one hundred seven thousand, six hundred ninety-seven".