863997 has 8 divisors (see below), whose sum is σ = 1191840. Its totient is φ = 556080.

The previous prime is 863983. The next prime is 864007. The reversal of 863997 is 799368.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 863997 - 2⁷ = 863869 is a prime.

863997 is a lucky 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 863997.

It is not an unprimeable number, because it can be changed into a prime (863917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4879 + ... + 5052.

It is an arithmetic number, because the mean of its divisors is an integer number (148980).

2⁸⁶³⁹⁹⁷ is an apocalyptic number.

863997 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

863997 is a deficient number, since it is larger than the sum of its proper divisors (327843).

863997 is a wasteful number, since it uses less digits than its factorization.

863997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963.

The product of its digits is 81648, while the sum is 42.

The square root of 863997 is about 929.5143893453. The cubic root of 863997 is about 95.2439528818.

Subtracting from 863997 its sum of digits (42), we obtain a triangular number (863955 = T₁₃₁₄).

The spelling of 863997 in words is "eight hundred sixty-three thousand, nine hundred ninety-seven".