8300961 has 10 divisors (see below), whose sum is σ = 12400322. Its totient is φ = 5533920.

The previous prime is 8300959. The next prime is 8300977. The reversal of 8300961 is 1690038.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 6561 = 2880^2 + 81^2 .

It is not a de Polignac number, because 8300961 - 2¹ = 8300959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8300911) 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 9 ways as a sum of consecutive naturals, for example, 51160 + ... + 51321.

Almost surely, 2^8300961 is an apocalyptic number.

8300961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8300961 is a deficient number, since it is larger than the sum of its proper divisors (4099361).

8300961 is a wasteful number, since it uses less digits than its factorization.

8300961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102493 (or 102484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8300961 is about 2881.1388373350. The cubic root of 8300961 is about 202.4771990789.

Adding to 8300961 its reverse (1690038), we get a palindrome (9990999).

It can be divided in two parts, 8300 and 961, that added together give a cube (9261 = 21³).

The spelling of 8300961 in words is "eight million, three hundred thousand, nine hundred sixty-one".