826961 has 4 divisors (see below), whose sum is σ = 830832. Its totient is φ = 823092.

The previous prime is 826957. The next prime is 826963. The reversal of 826961 is 169628.

826961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 826961 - 2² = 826957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826961.

It is not an unprimeable number, because it can be changed into a prime (826963) 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, 1595 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (207708).

2⁸²⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

826961 is a deficient number, since it is larger than the sum of its proper divisors (3871).

826961 is a wasteful number, since it uses less digits than its factorization.

826961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870.

The product of its digits is 5184, while the sum is 32.

The square root of 826961 is about 909.3739604805. The cubic root of 826961 is about 93.8631250704.

The spelling of 826961 in words is "eight hundred twenty-six thousand, nine hundred sixty-one".