82240313 has 2 divisors, whose sum is σ = 82240314. Its totient is φ = 82240312.

The previous prime is 82240273. The next prime is 82240351. The reversal of 82240313 is 31304228.

82240313 = 6412² + 6413².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41126569 + 41113744 = 6413^2 + 6412^2 .

It is a cyclic number.

It is not a de Polignac number, because 82240313 - 2¹⁴ = 82223929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82240013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41120156 + 41120157.

It is an arithmetic number, because the mean of its divisors is an integer number (41120157).

Almost surely, 2^82240313 is an apocalyptic number.

82240313 is the 6413-rd centered square number.

It is an amenable number.

82240313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82240313 is an equidigital number, since it uses as much as digits as its factorization.

82240313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 82240313 is about 9068.6444962850. The cubic root of 82240313 is about 434.8721392830.

The spelling of 82240313 in words is "eighty-two million, two hundred forty thousand, three hundred thirteen".