82756301 has 2 divisors, whose sum is σ = 82756302. Its totient is φ = 82756300.

The previous prime is 82756283. The next prime is 82756307. The reversal of 82756301 is 10365728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82264900 + 491401 = 9070^2 + 701^2 .

It is a cyclic number.

It is not a de Polignac number, because 82756301 - 2¹⁸ = 82494157 is a prime.

It is a Chen prime.

It is equal to p_4820864 and since 82756301 and 4820864 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82756307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41378150 + 41378151.

It is an arithmetic number, because the mean of its divisors is an integer number (41378151).

Almost surely, 2^82756301 is an apocalyptic number.

It is an amenable number.

82756301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82756301 is an equidigital number, since it uses as much as digits as its factorization.

82756301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82756301 is about 9097.0490270197. The cubic root of 82756301 is about 435.7797280442.

The spelling of 82756301 in words is "eighty-two million, seven hundred fifty-six thousand, three hundred one".