87114961 has 8 divisors (see below), whose sum is σ = 91016640. Its totient is φ = 83222832.

The previous prime is 87114917. The next prime is 87114967. The reversal of 87114961 is 16941178.

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

It is not a de Polignac number, because 87114961 - 2²¹ = 85017809 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 87114961.

It is not an unprimeable number, because it can be changed into a prime (87114967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21430 + ... + 25168.

It is an arithmetic number, because the mean of its divisors is an integer number (11377080).

Almost surely, 2^87114961 is an apocalyptic number.

It is an amenable number.

87114961 is a deficient number, since it is larger than the sum of its proper divisors (3901679).

87114961 is a wasteful number, since it uses less digits than its factorization.

87114961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775.

The product of its digits is 12096, while the sum is 37.

The square root of 87114961 is about 9333.5395751023. The cubic root of 87114961 is about 443.2998477859.

The spelling of 87114961 in words is "eighty-seven million, one hundred fourteen thousand, nine hundred sixty-one".