82777033 has 2 divisors, whose sum is σ = 82777034. Its totient is φ = 82777032.

The previous prime is 82777027. The next prime is 82777067. The reversal of 82777033 is 33077728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 14417209 = 8268^2 + 3797^2 .

It is a cyclic number.

It is not a de Polignac number, because 82777033 - 2²⁵ = 49222601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82776983 and 82777001.

It is not a weakly prime, because it can be changed into another prime (82777003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41388516 + 41388517.

It is an arithmetic number, because the mean of its divisors is an integer number (41388517).

Almost surely, 2^82777033 is an apocalyptic number.

It is an amenable number.

82777033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82777033 is an equidigital number, since it uses as much as digits as its factorization.

82777033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 82777033 is about 9098.1884460589. The cubic root of 82777033 is about 435.8161153278.

The spelling of 82777033 in words is "eighty-two million, seven hundred seventy-seven thousand, thirty-three".