824961 has 16 divisors (see below), whose sum is σ = 1189440. Its totient is φ = 506880.

The previous prime is 824951. The next prime is 824977. The reversal of 824961 is 169428.

It is not a de Polignac number, because 824961 - 2⁷ = 824833 is a prime.

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 824961.

It is not an unprimeable number, because it can be changed into a prime (824911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (74340).

2⁸²⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

824961 is a deficient number, since it is larger than the sum of its proper divisors (364479).

824961 is a wasteful number, since it uses less digits than its factorization.

824961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its digits is 3456, while the sum is 30.

The square root of 824961 is about 908.2736371821. The cubic root of 824961 is about 93.7873948598.

The spelling of 824961 in words is "eight hundred twenty-four thousand, nine hundred sixty-one".