8142641 has 8 divisors (see below), whose sum is σ = 8983464. Its totient is φ = 7332480.

The previous prime is 8142637. The next prime is 8142653. The reversal of 8142641 is 1462418.

It can be written as a sum of positive squares in 4 ways, for example, as 874225 + 7268416 = 935^2 + 2696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8142641 - 2² = 8142637 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8142641.

It is not an unprimeable number, because it can be changed into a prime (8142671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7106 + ... + 8171.

It is an arithmetic number, because the mean of its divisors is an integer number (1122933).

Almost surely, 2^8142641 is an apocalyptic number.

It is an amenable number.

8142641 is a deficient number, since it is larger than the sum of its proper divisors (840823).

8142641 is a wasteful number, since it uses less digits than its factorization.

8142641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331.

The product of its digits is 1536, while the sum is 26.

The square root of 8142641 is about 2853.5313210126. The cubic root of 8142641 is about 201.1816794183.

The spelling of 8142641 in words is "eight million, one hundred forty-two thousand, six hundred forty-one".