984139641 has 9 divisors (see below), whose sum is σ = 1421670991. Its totient is φ = 656030352.

The previous prime is 984139633. The next prime is 984139649. The reversal of 984139641 is 146931489.

The square root of 984139641 is 31371.

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

It is an interprime number because it is at equal distance from previous prime (984139633) and next prime (984139649).

It can be written as a sum of positive squares in only one way, i.e., 890127225 + 94012416 = 29835^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 984139641 - 2³ = 984139633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (984139649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88885 + ... + 99341.

Almost surely, 2^984139641 is an apocalyptic number.

984139641 is the 31371-st square number.

984139641 is the 15686-th centered octagonal number.

It is an amenable number.

984139641 is a deficient number, since it is larger than the sum of its proper divisors (437531350).

984139641 is an frugal number, since it uses more digits than its factorization.

984139641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20920 (or 10460 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 984139641 is about 994.6850146451.

Adding to 984139641 its product of digits (186624), we get a triangular number (984326265 = T₄₄₃₆₉).

Multiplying 984139641 by its product of digits (186624), we get a square (183664076361984 = 13552272²).

It can be divided in two parts, 984 and 139641, that added together give a square (140625 = 375²).

The spelling of 984139641 in words is "nine hundred eighty-four million, one hundred thirty-nine thousand, six hundred forty-one".