7820541 has 12 divisors (see below), whose sum is σ = 11340732. Its totient is φ = 5193216.

The previous prime is 7820507. The next prime is 7820551. The reversal of 7820541 is 1450287.

It can be written as a sum of positive squares in 2 ways, for example, as 5405625 + 2414916 = 2325^2 + 1554^2 .

It is not a de Polignac number, because 7820541 - 2¹³ = 7812349 is a prime.

It is a super-2 number, since 2×7820541² = 122321723065362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (945061).

Almost surely, 2^7820541 is an apocalyptic number.

It is an amenable number.

7820541 is a deficient number, since it is larger than the sum of its proper divisors (3520191).

7820541 is a wasteful number, since it uses less digits than its factorization.

7820541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7820541 is about 2796.5230197515. The cubic root of 7820541 is about 198.4931843768.

The spelling of 7820541 in words is "seven million, eight hundred twenty thousand, five hundred forty-one".