863667 has 12 divisors (see below), whose sum is σ = 1425840. Its totient is φ = 493488.

The previous prime is 863641. The next prime is 863671. The reversal of 863667 is 766368.

It is a happy number.

It is not a de Polignac number, because 863667 - 2⁷ = 863539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (863767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6792 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (118820).

2⁸⁶³⁶⁶⁷ is an apocalyptic number.

863667 is a deficient number, since it is larger than the sum of its proper divisors (562173).

863667 is a wasteful number, since it uses less digits than its factorization.

863667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13719 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 863667 is about 929.3368603472. The cubic root of 863667 is about 95.2318253293.

The spelling of 863667 in words is "eight hundred sixty-three thousand, six hundred sixty-seven".