863214 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 246400.

The previous prime is 863197. The next prime is 863231. The reversal of 863214 is 412368.

863214 = 22² + 23² + ... + 137².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (863197) and next prime (863231).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 863214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21034 + ... + 21074.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁸⁶³²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

863214 is an abundant number, since it is smaller than the sum of its proper divisors (1147746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

863214 is a wasteful number, since it uses less digits than its factorization.

863214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 863214 is about 929.0931062063. The cubic root of 863214 is about 95.2151724752.

It can be divided in two parts, 8632 and 14, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 863214 in words is "eight hundred sixty-three thousand, two hundred fourteen".