412567 has 2 divisors, whose sum is σ = 412568. Its totient is φ = 412566.

The previous prime is 412561. The next prime is 412571. The reversal of 412567 is 765214.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 412567 - 2¹¹ = 410519 is a 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 (412561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206283 + 206284.

It is an arithmetic number, because the mean of its divisors is an integer number (206284).

2⁴¹²⁵⁶⁷ is an apocalyptic number.

412567 is a deficient number, since it is larger than the sum of its proper divisors (1).

412567 is an equidigital number, since it uses as much as digits as its factorization.

412567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 412567 is about 642.3137862447. The cubic root of 412567 is about 74.4443077314. Note that the first 3 decimals are identical.

It can be divided in two parts, 412 and 567, that added together give a palindrome (979).

The spelling of 412567 in words is "four hundred twelve thousand, five hundred sixty-seven".