87872541 has 8 divisors (see below), whose sum is σ = 124055424. Its totient is φ = 55135680.

The previous prime is 87872527. The next prime is 87872557. The reversal of 87872541 is 14527878.

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

It is not a de Polignac number, because 87872541 - 2¹³ = 87864349 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a junction number, because it is equal to n+sod(n) for n = 87872493 and 87872502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87872501) 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, 861445 + ... + 861546.

It is an arithmetic number, because the mean of its divisors is an integer number (15506928).

Almost surely, 2^87872541 is an apocalyptic number.

It is an amenable number.

87872541 is a deficient number, since it is larger than the sum of its proper divisors (36182883).

87872541 is a wasteful number, since it uses less digits than its factorization.

87872541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723011.

The product of its digits is 125440, while the sum is 42.

The square root of 87872541 is about 9374.0354703831. The cubic root of 87872541 is about 444.5811671700.

The spelling of 87872541 in words is "eighty-seven million, eight hundred seventy-two thousand, five hundred forty-one".