82782901 has 2 divisors, whose sum is σ = 82782902. Its totient is φ = 82782900.

The previous prime is 82782899. The next prime is 82782919. The reversal of 82782901 is 10928728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80820100 + 1962801 = 8990^2 + 1401^2 .

It is a cyclic number.

It is not a de Polignac number, because 82782901 - 2¹ = 82782899 is a prime.

Together with 82782899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82782971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41391450 + 41391451.

It is an arithmetic number, because the mean of its divisors is an integer number (41391451).

Almost surely, 2^82782901 is an apocalyptic number.

It is an amenable number.

82782901 is a deficient number, since it is larger than the sum of its proper divisors (1).

82782901 is an equidigital number, since it uses as much as digits as its factorization.

82782901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 82782901 is about 9098.5109221235. The cubic root of 82782901 is about 435.8264133072.

The spelling of 82782901 in words is "eighty-two million, seven hundred eighty-two thousand, nine hundred one".