83292313 has 8 divisors (see below), whose sum is σ = 89912648. Its totient is φ = 76702464.

The previous prime is 83292283. The next prime is 83292329. The reversal of 83292313 is 31329238.

It can be written as a sum of positive squares in 4 ways, for example, as 700569 + 82591744 = 837^2 + 9088^2 .

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 83292313 - 2⁵ = 83292281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83292373) 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, 1770 + ... + 13027.

It is an arithmetic number, because the mean of its divisors is an integer number (11239081).

Almost surely, 2^83292313 is an apocalyptic number.

It is an amenable number.

83292313 is a deficient number, since it is larger than the sum of its proper divisors (6620335).

83292313 is a wasteful number, since it uses less digits than its factorization.

83292313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243.

The product of its digits is 7776, while the sum is 31.

The square root of 83292313 is about 9126.4622390059. The cubic root of 83292313 is about 436.7185514817.

The spelling of 83292313 in words is "eighty-three million, two hundred ninety-two thousand, three hundred thirteen".