414097 has 2 divisors, whose sum is σ = 414098. Its totient is φ = 414096.

The previous prime is 414083. The next prime is 414101. The reversal of 414097 is 790414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 5776 = 639^2 + 76^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414097 is a prime.

It is not a weakly prime, because it can be changed into another prime (414017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207048 + 207049.

It is an arithmetic number, because the mean of its divisors is an integer number (207049).

2⁴¹⁴⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

414097 is a deficient number, since it is larger than the sum of its proper divisors (1).

414097 is an equidigital number, since it uses as much as digits as its factorization.

414097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 414097 is about 643.5036907431. The cubic root of 414097 is about 74.5362194948.

The spelling of 414097 in words is "four hundred fourteen thousand, ninety-seven".