10820961 has 6 divisors (see below), whose sum is σ = 15630290. Its totient is φ = 7213968.

The previous prime is 10820947. The next prime is 10820981. The reversal of 10820961 is 16902801.

It can be written as a sum of positive squares in only one way, i.e., 6155361 + 4665600 = 2481^2 + 2160^2 .

It is not a de Polignac number, because 10820961 - 2¹⁰ = 10819937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10820981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601156 + ... + 601173.

Almost surely, 2^10820961 is an apocalyptic number.

It is an amenable number.

10820961 is a deficient number, since it is larger than the sum of its proper divisors (4809329).

10820961 is a wasteful number, since it uses less digits than its factorization.

10820961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202335 (or 1202332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10820961 is about 3289.5229137369. The cubic root of 10820961 is about 221.1847993265.

It can be divided in two parts, 10820 and 961, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 10820961 in words is "ten million, eight hundred twenty thousand, nine hundred sixty-one".