7845601 has 3 divisors (see below), whose sum is σ = 7848403. Its totient is φ = 7842800.

The previous prime is 7845587. The next prime is 7845611. The reversal of 7845601 is 1065487.

The square root of 7845601 is 2801.

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

7845601 is nontrivially palindromic in base 7.

7845601 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1065487 = 61 ⋅17467.

It can be written as a sum of positive squares in only one way, i.e., 4004001 + 3841600 = 2001^2 + 1960^2 .

It is not a de Polignac number, because 7845601 - 2¹³ = 7837409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7845611) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1401 + ... + 4201.

Almost surely, 2^7845601 is an apocalyptic number.

7845601 is the 2801-st square number.

7845601 is the 1401-st centered octagonal number.

It is an amenable number.

7845601 is a deficient number, since it is larger than the sum of its proper divisors (2802).

7845601 is an frugal number, since it uses more digits than its factorization.

7845601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 7845601 is about 198.7049743079.

The spelling of 7845601 in words is "seven million, eight hundred forty-five thousand, six hundred one".