414141397 has 2 divisors, whose sum is σ = 414141398. Its totient is φ = 414141396.

The previous prime is 414141379. The next prime is 414141419. The reversal of 414141397 is 793141414.

It is a happy number.

Together with previous prime (414141379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251349316 + 162792081 = 15854^2 + 12759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414141397 is a prime.

It is a super-3 number, since 3×414141397³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414141317) 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, 207070698 + 207070699.

It is an arithmetic number, because the mean of its divisors is an integer number (207070699).

Almost surely, 2^414141397 is an apocalyptic number.

It is an amenable number.

414141397 is a deficient number, since it is larger than the sum of its proper divisors (1).

414141397 is an equidigital number, since it uses as much as digits as its factorization.

414141397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 414141397 is about 20350.4642944578. The cubic root of 414141397 is about 745.3888317531.

The spelling of 414141397 in words is "four hundred fourteen million, one hundred forty-one thousand, three hundred ninety-seven".