834561 has 24 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 439776.

The previous prime is 834527. The next prime is 834569. The reversal of 834561 is 165438.

It is not a de Polignac number, because 834561 - 2⁶ = 834497 is a prime.

It is an alternating number because its digits alternate between even and odd.

834561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (834569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

It is a Proth number, since it is equal to 815 ⋅ 2¹⁰ + 1 and 815 < 2¹⁰.

2⁸³⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

834561 is a deficient number, since it is larger than the sum of its proper divisors (650559).

834561 is a wasteful number, since it uses less digits than its factorization.

834561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1042 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 834561 is about 913.5431024314. The cubic root of 834561 is about 94.1497913565.

Adding to 834561 its reverse (165438), we get a palindrome (999999).

The spelling of 834561 in words is "eight hundred thirty-four thousand, five hundred sixty-one".