82448137 has 2 divisors, whose sum is σ = 82448138. Its totient is φ = 82448136.

The previous prime is 82448117. The next prime is 82448141. The reversal of 82448137 is 73184428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51322896 + 31125241 = 7164^2 + 5579^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82448137 is a prime.

It is a Chen prime.

It is equal to p_4803967 and since 82448137 and 4803967 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 82448096 and 82448105.

It is not a weakly prime, because it can be changed into another prime (82448117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41224068 + 41224069.

It is an arithmetic number, because the mean of its divisors is an integer number (41224069).

Almost surely, 2^82448137 is an apocalyptic number.

It is an amenable number.

82448137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82448137 is an equidigital number, since it uses as much as digits as its factorization.

82448137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43008, while the sum is 37.

The square root of 82448137 is about 9080.0956492759. The cubic root of 82448137 is about 435.2381432634.

The spelling of 82448137 in words is "eighty-two million, four hundred forty-eight thousand, one hundred thirty-seven".