82001377 has 2 divisors, whose sum is σ = 82001378. Its totient is φ = 82001376.

The previous prime is 82001363. The next prime is 82001383. The reversal of 82001377 is 77310028.

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., 71216721 + 10784656 = 8439^2 + 3284^2 .

It is a cyclic number.

It is not a de Polignac number, because 82001377 - 2¹¹ = 81999329 is a prime.

It is a super-2 number, since 2×82001377² = 13448451659792258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82001177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41000688 + 41000689.

It is an arithmetic number, because the mean of its divisors is an integer number (41000689).

Almost surely, 2^82001377 is an apocalyptic number.

It is an amenable number.

82001377 is a deficient number, since it is larger than the sum of its proper divisors (1).

82001377 is an equidigital number, since it uses as much as digits as its factorization.

82001377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 82001377 is about 9055.4611699239. The cubic root of 82001377 is about 434.4505804133.

The spelling of 82001377 in words is "eighty-two million, one thousand, three hundred seventy-seven".