948085681 has 9 divisors (see below), whose sum is σ = 973069419. Its totient is φ = 923730000.

The previous prime is 948085651. The next prime is 948085709. The reversal of 948085681 is 186580849.

The square root of 948085681 is 30791.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45684081 + 902401600 = 6759^2 + 30040^2 .

It is not a de Polignac number, because 948085681 - 2¹³ = 948077489 is a prime.

It is a super-2 number, since 2×948085681² = 1797732917034467522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948085601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1262056 + ... + 1262806.

Almost surely, 2^948085681 is an apocalyptic number.

948085681 is the 30791-st square number.

948085681 is the 15396-th centered octagonal number.

It is an amenable number.

948085681 is a deficient number, since it is larger than the sum of its proper divisors (24983738).

948085681 is an frugal number, since it uses more digits than its factorization.

948085681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The cubic root of 948085681 is about 982.3868243879.

Multiplying 948085681 by its sum of digits (49), we get a square (46456198369 = 215537²).

It can be divided in two parts, 94808 and 5681, that added together give a square (100489 = 317²).

The spelling of 948085681 in words is "nine hundred forty-eight million, eighty-five thousand, six hundred eighty-one".