412901 has 2 divisors, whose sum is σ = 412902. Its totient is φ = 412900.

The previous prime is 412891. The next prime is 412903. The reversal of 412901 is 109214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 21025 = 626^2 + 145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412901 is a prime.

Together with 412903, it forms a pair of twin primes.

It is a Chen prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206450 + 206451.

It is an arithmetic number, because the mean of its divisors is an integer number (206451).

2⁴¹²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

412901 is a deficient number, since it is larger than the sum of its proper divisors (1).

412901 is an equidigital number, since it uses as much as digits as its factorization.

412901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 412901 is about 642.5737311780. The cubic root of 412901 is about 74.4643914932.

The spelling of 412901 in words is "four hundred twelve thousand, nine hundred one".