9826561 has 8 divisors (see below), whose sum is σ = 10436904. Its totient is φ = 9219840.

The previous prime is 9826547. The next prime is 9826567. The reversal of 9826561 is 1656289.

9826561 = T₂₅₅₈ + T₂₅₅₉ + T₂₅₆₀.

It can be written as a sum of positive squares in 4 ways, for example, as 2433600 + 7392961 = 1560^2 + 2719^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9826561 - 2⁷ = 9826433 is a prime.

It is a super-2 number, since 2×9826561² = 193122602173442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9826561.

It is not an unprimeable number, because it can be changed into a prime (9826567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6471 + ... + 7843.

It is an arithmetic number, because the mean of its divisors is an integer number (1304613).

Almost surely, 2^9826561 is an apocalyptic number.

9826561 is the 2560-th centered triangular number.

It is an amenable number.

9826561 is a deficient number, since it is larger than the sum of its proper divisors (610343).

9826561 is a wasteful number, since it uses less digits than its factorization.

9826561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811.

The product of its digits is 25920, while the sum is 37.

The square root of 9826561 is about 3134.7345980162. The cubic root of 9826561 is about 214.1906546197.

The spelling of 9826561 in words is "nine million, eight hundred twenty-six thousand, five hundred sixty-one".