782240101 has 2 divisors, whose sum is σ = 782240102. Its totient is φ = 782240100.

The previous prime is 782240099. The next prime is 782240119. The reversal of 782240101 is 101042287.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 628504900 + 153735201 = 25070^2 + 12399^2 .

It is an emirp because it is prime and its reverse (101042287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 782240101 - 2¹ = 782240099 is a prime.

It is a super-2 number, since 2×782240101² = 1223799151224980402, which contains 22 as substring.

Together with 782240099, 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 (782240131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391120050 + 391120051.

It is an arithmetic number, because the mean of its divisors is an integer number (391120051).

Almost surely, 2^782240101 is an apocalyptic number.

It is an amenable number.

782240101 is a deficient number, since it is larger than the sum of its proper divisors (1).

782240101 is an equidigital number, since it uses as much as digits as its factorization.

782240101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 782240101 is about 27968.5555758605. Note that the first 4 decimals coincide. The cubic root of 782240101 is about 921.3967838299.

Adding to 782240101 its reverse (101042287), we get a palindrome (883282388).

The spelling of 782240101 in words is "seven hundred eighty-two million, two hundred forty thousand, one hundred one".