414103997 has 2 divisors, whose sum is σ = 414103998. Its totient is φ = 414103996.

The previous prime is 414103973. The next prime is 414104027. The reversal of 414103997 is 799301414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397244761 + 16859236 = 19931^2 + 4106^2 .

It is a cyclic number.

It is not a de Polignac number, because 414103997 - 2¹⁰ = 414102973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414103997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414103957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207051998 + 207051999.

It is an arithmetic number, because the mean of its divisors is an integer number (207051999).

Almost surely, 2^414103997 is an apocalyptic number.

It is an amenable number.

414103997 is a deficient number, since it is larger than the sum of its proper divisors (1).

414103997 is an equidigital number, since it uses as much as digits as its factorization.

414103997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 414103997 is about 20349.5453757572. The cubic root of 414103997 is about 745.3663930548.

The spelling of 414103997 in words is "four hundred fourteen million, one hundred three thousand, nine hundred ninety-seven".