412767 has 6 divisors (see below), whose sum is σ = 596232. Its totient is φ = 275172.

The previous prime is 412739. The next prime is 412771. The reversal of 412767 is 767214.

It is not a de Polignac number, because 412767 - 2⁷ = 412639 is a prime.

It is an Ulam number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412717) 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 in 5 ways as a sum of consecutive naturals, for example, 22923 + ... + 22940.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

2⁴¹²⁷⁶⁷ is an apocalyptic number.

412767 is a deficient number, since it is larger than the sum of its proper divisors (183465).

412767 is a wasteful number, since it uses less digits than its factorization.

412767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45869 (or 45866 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 412767 is about 642.4694545268. The cubic root of 412767 is about 74.4563352375.

The spelling of 412767 in words is "four hundred twelve thousand, seven hundred sixty-seven".