8242641 has 45 divisors (see below), whose sum is σ = 14017003. Its totient is φ = 4823280.

The previous prime is 8242639. The next prime is 8242667. The reversal of 8242641 is 1462428.

The square root of 8242641 is 2871.

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., 4322241 + 3920400 = 2079^2 + 1980^2 .

It is not a de Polignac number, because 8242641 - 2¹ = 8242639 is a prime.

It is a super-2 number, since 2×8242641² = 135882261309762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

8242641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8242631) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 284215 + ... + 284243.

Almost surely, 2^8242641 is an apocalyptic number.

8242641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8242641 is the 2871-st square number.

8242641 is the 1436-th centered octagonal number.

It is an amenable number.

8242641 is a deficient number, since it is larger than the sum of its proper divisors (5774362).

8242641 is a wasteful number, since it uses less digits than its factorization.

8242641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 8242641 is about 202.0019033902.

The spelling of 8242641 in words is "eight million, two hundred forty-two thousand, six hundred forty-one".