414100151 has 2 divisors, whose sum is σ = 414100152. Its totient is φ = 414100150.

The previous prime is 414100129. The next prime is 414100153. The reversal of 414100151 is 151001414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414100151 - 2⁶ = 414100087 is a prime.

Together with 414100153, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414100153) 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, 207050075 + 207050076.

It is an arithmetic number, because the mean of its divisors is an integer number (207050076).

Almost surely, 2^414100151 is an apocalyptic number.

414100151 is a deficient number, since it is larger than the sum of its proper divisors (1).

414100151 is an equidigital number, since it uses as much as digits as its factorization.

414100151 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 414100151 is about 20349.4508771121. The cubic root of 414100151 is about 745.3640855121.

Adding to 414100151 its reverse (151001414), we get a palindrome (565101565).

The spelling of 414100151 in words is "four hundred fourteen million, one hundred thousand, one hundred fifty-one".