1086624641 has 2 divisors, whose sum is σ = 1086624642. Its totient is φ = 1086624640.

The previous prime is 1086624619. The next prime is 1086624677. The reversal of 1086624641 is 1464266801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820249600 + 266375041 = 28640^2 + 16321^2 .

It is an emirp because it is prime and its reverse (1464266801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1086624641 is a prime.

It is a super-3 number, since 3×1086624641³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1086624595 and 1086624604.

It is not a weakly prime, because it can be changed into another prime (1086623641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 543312320 + 543312321.

It is an arithmetic number, because the mean of its divisors is an integer number (543312321).

Almost surely, 2^1086624641 is an apocalyptic number.

It is an amenable number.

1086624641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1086624641 is an equidigital number, since it uses as much as digits as its factorization.

1086624641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1086624641 is about 32963.9900649178. The cubic root of 1086624641 is about 1028.0790668417.

The spelling of 1086624641 in words is "one billion, eighty-six million, six hundred twenty-four thousand, six hundred forty-one".