83264249 has 8 divisors (see below), whose sum is σ = 91202760. Its totient is φ = 75663616.

The previous prime is 83264243. The next prime is 83264257. The reversal of 83264249 is 94246238.

83264249 = T₃₁₇ + T₃₁₈ + ... + T₈₀₉.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2839225 + 80425024 = 1685^2 + 8968^2 .

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 83264249 - 2²⁰ = 82215673 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83264243) 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, 83954 + ... + 84939.

It is an arithmetic number, because the mean of its divisors is an integer number (11400345).

Almost surely, 2^83264249 is an apocalyptic number.

It is an amenable number.

83264249 is a deficient number, since it is larger than the sum of its proper divisors (7938511).

83264249 is a wasteful number, since it uses less digits than its factorization.

83264249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168939.

The product of its digits is 82944, while the sum is 38.

The square root of 83264249 is about 9124.9246024282. The cubic root of 83264249 is about 436.6694975504.

The spelling of 83264249 in words is "eighty-three million, two hundred sixty-four thousand, two hundred forty-nine".