83280969 has 24 divisors (see below), whose sum is σ = 124043400. Its totient is φ = 53803008.

The previous prime is 83280937. The next prime is 83280979. The reversal of 83280969 is 96908238.

It can be written as a sum of positive squares in 4 ways, for example, as 14722569 + 68558400 = 3837^2 + 8280^2 .

It is not a de Polignac number, because 83280969 - 2⁵ = 83280937 is a prime.

It is a super-2 number, since 2×83280969² = 13871439595157922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83280979) 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 23 ways as a sum of consecutive naturals, for example, 149239 + ... + 149795.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2^83280969 is an apocalyptic number.

It is an amenable number.

83280969 is a deficient number, since it is larger than the sum of its proper divisors (40762431).

83280969 is a wasteful number, since it uses less digits than its factorization.

83280969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1046 counting only the distinct ones).

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

The square root of 83280969 is about 9125.8407283932. The cubic root of 83280969 is about 436.6987242811.

The spelling of 83280969 in words is "eighty-three million, two hundred eighty thousand, nine hundred sixty-nine".