824960961 has 12 divisors (see below), whose sum is σ = 1299938640. Its totient is φ = 499976280.

The previous prime is 824960893. The next prime is 824960963. The reversal of 824960961 is 169069428.

It is a happy number.

It is not a de Polignac number, because 824960961 - 2¹⁴ = 824944577 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (824960963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4166371 + ... + 4166568.

It is an arithmetic number, because the mean of its divisors is an integer number (108328220).

Almost surely, 2^824960961 is an apocalyptic number.

It is an amenable number.

824960961 is a deficient number, since it is larger than the sum of its proper divisors (474977679).

824960961 is a wasteful number, since it uses less digits than its factorization.

824960961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332956 (or 8332953 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 824960961 is about 28722.1336428894. The cubic root of 824960961 is about 937.8739338186.

The spelling of 824960961 in words is "eight hundred twenty-four million, nine hundred sixty thousand, nine hundred sixty-one".