414101 has 2 divisors, whose sum is σ = 414102. Its totient is φ = 414100.

The previous prime is 414097. The next prime is 414107. The reversal of 414101 is 101414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 361201 + 52900 = 601^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 414101 - 2² = 414097 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207050 + 207051.

It is an arithmetic number, because the mean of its divisors is an integer number (207051).

2⁴¹⁴¹⁰¹ is an apocalyptic number.

It is an amenable number.

414101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101 is an equidigital number, since it uses as much as digits as its factorization.

414101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 414101 is about 643.5067987209. The cubic root of 414101 is about 74.5364594901.

Adding to 414101 its reverse (101414), we get a palindrome (515515).

It can be divided in two parts, 414 and 101, that multiplied together give a palindrome (41814).

The spelling of 414101 in words is "four hundred fourteen thousand, one hundred one", and thus it is an iban number.