412981 has 6 divisors (see below), whose sum is σ = 439010. Its totient is φ = 388416.

The previous prime is 412967. The next prime is 412987. The reversal of 412981 is 189214.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 342225 = 266^2 + 585^2 .

It is not a de Polignac number, because 412981 - 2⁵ = 412949 is a prime.

It is a super-2 number, since 2×412981² = 341106612722, which contains 22 as substring.

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

It is a Duffinian number.

412981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426 + ... + 1003.

2⁴¹²⁹⁸¹ is an apocalyptic number.

It is an amenable number.

412981 is a deficient number, since it is larger than the sum of its proper divisors (26029).

412981 is a wasteful number, since it uses less digits than its factorization.

412981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1446 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 412981 is about 642.6359778288. The cubic root of 412981 is about 74.4692003671.

It can be divided in two parts, 41 and 2981, that multiplied together give a palindrome (122221).

The spelling of 412981 in words is "four hundred twelve thousand, nine hundred eighty-one".