412663 has 2 divisors, whose sum is σ = 412664. Its totient is φ = 412662.

The previous prime is 412651. The next prime is 412667. The reversal of 412663 is 366214.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412663 is a prime.

412663 is a lucky number.

It is equal to p₃₄₈₂₅ and since 412663 and 34825 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206331 + 206332.

It is an arithmetic number, because the mean of its divisors is an integer number (206332).

2⁴¹²⁶⁶³ is an apocalyptic number.

412663 is a deficient number, since it is larger than the sum of its proper divisors (1).

412663 is an equidigital number, since it uses as much as digits as its factorization.

412663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 22.

The square root of 412663 is about 642.3885117279. The cubic root of 412663 is about 74.4500814193.

Adding to 412663 its reverse (366214), we get a palindrome (778877).

It can be divided in two parts, 41 and 2663, that added together give a square (2704 = 52²).

The spelling of 412663 in words is "four hundred twelve thousand, six hundred sixty-three".