82177231 has 2 divisors, whose sum is σ = 82177232. Its totient is φ = 82177230.

The previous prime is 82177181. The next prime is 82177241. The reversal of 82177231 is 13277128.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82177231 - 2⁹ = 82176719 is a prime.

It is a super-2 number, since 2×82177231² = 13506194589654722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82177193 and 82177202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82177241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41088615 + 41088616.

It is an arithmetic number, because the mean of its divisors is an integer number (41088616).

Almost surely, 2^82177231 is an apocalyptic number.

82177231 is a deficient number, since it is larger than the sum of its proper divisors (1).

82177231 is an equidigital number, since it uses as much as digits as its factorization.

82177231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 31.

The square root of 82177231 is about 9065.1658010210. The cubic root of 82177231 is about 434.7609220454.

The spelling of 82177231 in words is "eighty-two million, one hundred seventy-seven thousand, two hundred thirty-one".