810483961 has 21 divisors (see below), whose sum is σ = 957093061. Its totient is φ = 686330652.

The previous prime is 810483943. The next prime is 810483979. The reversal of 810483961 is 169384018.

The square root of 810483961 is 28469.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (810483943) and next prime (810483979).

It is not a de Polignac number, because 810483961 - 2⁷ = 810483833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (810483161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9764826 + ... + 9764908.

Almost surely, 2^810483961 is an apocalyptic number.

810483961 is the 28469-th square number.

810483961 is the 14235-th centered octagonal number.

It is an amenable number.

810483961 is a deficient number, since it is larger than the sum of its proper divisors (146609100).

810483961 is an frugal number, since it uses more digits than its factorization.

810483961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The cubic root of 810483961 is about 932.3553665956.

The spelling of 810483961 in words is "eight hundred ten million, four hundred eighty-three thousand, nine hundred sixty-one".