828961 has 4 divisors (see below), whose sum is σ = 947392. Its totient is φ = 710532.

The previous prime is 828953. The next prime is 828967. The reversal of 828961 is 169828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 828961 - 2³ = 828953 is a prime.

It is an Ulam number.

It is a Duffinian number.

828961 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59205 + ... + 59218.

It is an arithmetic number, because the mean of its divisors is an integer number (236848).

2⁸²⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

828961 is a deficient number, since it is larger than the sum of its proper divisors (118431).

828961 is a wasteful number, since it uses less digits than its factorization.

828961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118430.

The product of its digits is 6912, while the sum is 34.

The square root of 828961 is about 910.4729540190. The cubic root of 828961 is about 93.9387332772.

The spelling of 828961 in words is "eight hundred twenty-eight thousand, nine hundred sixty-one".