82167541 has 2 divisors, whose sum is σ = 82167542. Its totient is φ = 82167540.

The previous prime is 82167509. The next prime is 82167551. The reversal of 82167541 is 14576128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60124516 + 22043025 = 7754^2 + 4695^2 .

It is a cyclic number.

It is not a de Polignac number, because 82167541 - 2⁵ = 82167509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82167497 and 82167506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82167551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41083770 + 41083771.

It is an arithmetic number, because the mean of its divisors is an integer number (41083771).

Almost surely, 2^82167541 is an apocalyptic number.

It is an amenable number.

82167541 is a deficient number, since it is larger than the sum of its proper divisors (1).

82167541 is an equidigital number, since it uses as much as digits as its factorization.

82167541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13440, while the sum is 34.

The square root of 82167541 is about 9064.6313217913. The cubic root of 82167541 is about 434.7438329690.

The spelling of 82167541 in words is "eighty-two million, one hundred sixty-seven thousand, five hundred forty-one".