7832427001 has 27 divisors (see below), whose sum is σ = 9343905519. Its totient is φ = 6546241968.

The previous prime is 7832426971. The next prime is 7832427011. The reversal of 7832427001 is 1007242387.

The square root of 7832427001 is 88501.

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., 515335401 + 7317091600 = 22701^2 + 85540^2 .

It is not a de Polignac number, because 7832427001 - 2¹³ = 7832418809 is a prime.

It is a super-2 number, since 2×7832427001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7832427011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29116695 + ... + 29116963.

Almost surely, 2^7832427001 is an apocalyptic number.

7832427001 is the 88501-st square number.

7832427001 is the 44251-st centered octagonal number.

It is an amenable number.

7832427001 is a deficient number, since it is larger than the sum of its proper divisors (1511478518).

7832427001 is an frugal number, since it uses more digits than its factorization.

7832427001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The cubic root of 7832427001 is about 1985.9369302219.

Adding to 7832427001 its reverse (1007242387), we get a palindrome (8839669388).

The spelling of 7832427001 in words is "seven billion, eight hundred thirty-two million, four hundred twenty-seven thousand, one".