828761 has 8 divisors (see below), whose sum is σ = 889920. Its totient is φ = 769392.

The previous prime is 828757. The next prime is 828787. The reversal of 828761 is 167828.

828761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 828761 - 2² = 828757 is a prime.

It is a Duffinian 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 828761.

It is not an unprimeable number, because it can be changed into a prime (828701) 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, 596 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (111240).

2⁸²⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

828761 is a deficient number, since it is larger than the sum of its proper divisors (61159).

828761 is a wasteful number, since it uses less digits than its factorization.

828761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895.

The product of its digits is 5376, while the sum is 32.

The square root of 828761 is about 910.3631143670. The cubic root of 828761 is about 93.9311779327.

The spelling of 828761 in words is "eight hundred twenty-eight thousand, seven hundred sixty-one".