7281661827 has 32 divisors (see below), whose sum is σ = 11228719104. Its totient is φ = 4155321600.

The previous prime is 7281661813. The next prime is 7281661841.

7281661827 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7281661813) and next prime (7281661841).

It is not a de Polignac number, because 7281661827 - 2⁶ = 7281661763 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (7281661847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58338 + ... + 134039.

It is an arithmetic number, because the mean of its divisors is an integer number (350897472).

Almost surely, 2^7281661827 is an apocalyptic number.

7281661827 is a deficient number, since it is larger than the sum of its proper divisors (3947057277).

7281661827 is a wasteful number, since it uses less digits than its factorization.

7281661827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192459.

The product of its digits is 451584, while the sum is 48.

The square root of 7281661827 is about 85332.6539315402. The cubic root of 7281661827 is about 1938.2516777157.

The spelling of 7281661827 in words is "seven billion, two hundred eighty-one million, six hundred sixty-one thousand, eight hundred twenty-seven".