863217 has 10 divisors (see below), whose sum is σ = 1289618. Its totient is φ = 575424.

The previous prime is 863197. The next prime is 863231. The reversal of 863217 is 712368.

It can be written as a sum of positive squares in only one way, i.e., 531441 + 331776 = 729^2 + 576^2 .

It is not a de Polignac number, because 863217 - 2⁶ = 863153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 8⁵ + 6³ + 2⁷ + 3⁸ + 1 + 7⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5248 + ... + 5409.

2⁸⁶³²¹⁷ is an apocalyptic number.

It is an amenable number.

863217 is a deficient number, since it is larger than the sum of its proper divisors (426401).

863217 is a wasteful number, since it uses less digits than its factorization.

863217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10660 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 863217 is about 929.0947206825. The cubic root of 863217 is about 95.2152827782.

It can be divided in two parts, 8632 and 17, that added together give a square (8649 = 93²).

The spelling of 863217 in words is "eight hundred sixty-three thousand, two hundred seventeen".