828763 has 8 divisors (see below), whose sum is σ = 917168. Its totient is φ = 743904.

The previous prime is 828757. The next prime is 828787. The reversal of 828763 is 367828.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 828763 - 2⁵ = 828731 is a prime.

It is a super-2 number, since 2×828763² = 1373696220338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828703) 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 7 ways as a sum of consecutive naturals, for example, 381 + ... + 1342.

It is an arithmetic number, because the mean of its divisors is an integer number (114646).

2⁸²⁸⁷⁶³ is an apocalyptic number.

828763 is a deficient number, since it is larger than the sum of its proper divisors (88405).

828763 is a wasteful number, since it uses less digits than its factorization.

828763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its digits is 16128, while the sum is 34.

The square root of 828763 is about 910.3642128291. The cubic root of 828763 is about 93.9312534921.

The spelling of 828763 in words is "eight hundred twenty-eight thousand, seven hundred sixty-three".