414105997 has 2 divisors, whose sum is σ = 414105998. Its totient is φ = 414105996.

The previous prime is 414105977. The next prime is 414106019. The reversal of 414105997 is 799501414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219810276 + 194295721 = 14826^2 + 13939^2 .

It is a cyclic number.

It is not a de Polignac number, because 414105997 - 2¹⁵ = 414073229 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414105977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207052998 + 207052999.

It is an arithmetic number, because the mean of its divisors is an integer number (207052999).

Almost surely, 2^414105997 is an apocalyptic number.

It is an amenable number.

414105997 is a deficient number, since it is larger than the sum of its proper divisors (1).

414105997 is an equidigital number, since it uses as much as digits as its factorization.

414105997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 414105997 is about 20349.5945168448. The cubic root of 414105997 is about 745.3675930194.

The spelling of 414105997 in words is "four hundred fourteen million, one hundred five thousand, nine hundred ninety-seven".