87642541 has 8 divisors (see below), whose sum is σ = 100352384. Its totient is φ = 74980080.

The previous prime is 87642509. The next prime is 87642547. The reversal of 87642541 is 14524678.

87642541 = 1424² + 1425² + ... + 1465².

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

It is not a de Polignac number, because 87642541 - 2⁵ = 87642509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87642541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87642547) 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, 7785 + ... + 15358.

It is an arithmetic number, because the mean of its divisors is an integer number (12544048).

Almost surely, 2^87642541 is an apocalyptic number.

It is an amenable number.

87642541 is a deficient number, since it is larger than the sum of its proper divisors (12709843).

87642541 is a wasteful number, since it uses less digits than its factorization.

87642541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691.

The product of its digits is 53760, while the sum is 37.

The square root of 87642541 is about 9361.7595034267. The cubic root of 87642541 is about 444.1929419402.

The spelling of 87642541 in words is "eighty-seven million, six hundred forty-two thousand, five hundred forty-one".