412961 has 4 divisors (see below), whose sum is σ = 418692. Its totient is φ = 407232.

The previous prime is 412949. The next prime is 412967. The reversal of 412961 is 169214.

It is a happy number.

412961 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 286225 = 356^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 412961 - 2¹⁰ = 411937 is a prime.

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

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412961.

It is not an unprimeable number, because it can be changed into a prime (412967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2756 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (104673).

2⁴¹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

412961 is a deficient number, since it is larger than the sum of its proper divisors (5731).

412961 is an equidigital number, since it uses as much as digits as its factorization.

412961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730.

The product of its digits is 432, while the sum is 23.

The square root of 412961 is about 642.6204167314. The cubic root of 412961 is about 74.4679982069.

The spelling of 412961 in words is "four hundred twelve thousand, nine hundred sixty-one".