763821 has 6 divisors (see below), whose sum is σ = 1103310. Its totient is φ = 509208.

The previous prime is 763811. The next prime is 763823. The reversal of 763821 is 128367.

763821 is a `hidden beast` number, since 7 + 638 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 741321 + 22500 = 861^2 + 150^2 .

It is not a de Polignac number, because 763821 - 2⁶ = 763757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763823) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42426 + ... + 42443.

It is an arithmetic number, because the mean of its divisors is an integer number (183885).

2⁷⁶³⁸²¹ is an apocalyptic number.

It is an amenable number.

763821 is a deficient number, since it is larger than the sum of its proper divisors (339489).

763821 is a wasteful number, since it uses less digits than its factorization.

763821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84875 (or 84872 counting only the distinct ones).

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

The square root of 763821 is about 873.9685349027. The cubic root of 763821 is about 91.4107344063.

The spelling of 763821 in words is "seven hundred sixty-three thousand, eight hundred twenty-one".