412561 has 2 divisors, whose sum is σ = 412562. Its totient is φ = 412560.

The previous prime is 412537. The next prime is 412567. The reversal of 412561 is 165214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398161 + 14400 = 631^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 412561 - 2¹¹ = 410513 is a prime.

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

It is equal to p₃₄₈₁₃ and since 412561 and 34813 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 (412567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206280 + 206281.

It is an arithmetic number, because the mean of its divisors is an integer number (206281).

2⁴¹²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

412561 is a deficient number, since it is larger than the sum of its proper divisors (1).

412561 is an equidigital number, since it uses as much as digits as its factorization.

412561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 412561 is about 642.3091156133. The cubic root of 412561 is about 74.4439468462.

Adding to 412561 its reverse (165214), we get a palindrome (577775).

It can be divided in two parts, 4125 and 61, that added together give a triangular number (4186 = T₉₁).

The spelling of 412561 in words is "four hundred twelve thousand, five hundred sixty-one".