7872541 has 2 divisors, whose sum is σ = 7872542. Its totient is φ = 7872540.

The previous prime is 7872521. The next prime is 7872559. The reversal of 7872541 is 1452787.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7812025 + 60516 = 2795^2 + 246^2 .

It is a cyclic number.

It is not a de Polignac number, because 7872541 - 2⁷ = 7872413 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 7872497 and 7872506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7872521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3936270 + 3936271.

It is an arithmetic number, because the mean of its divisors is an integer number (3936271).

Almost surely, 2^7872541 is an apocalyptic number.

It is an amenable number.

7872541 is a deficient number, since it is larger than the sum of its proper divisors (1).

7872541 is an equidigital number, since it uses as much as digits as its factorization.

7872541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15680, while the sum is 34.

The square root of 7872541 is about 2805.8048756106. The cubic root of 7872541 is about 198.9321502990.

The spelling of 7872541 in words is "seven million, eight hundred seventy-two thousand, five hundred forty-one".