87145971 has 16 divisors (see below), whose sum is σ = 127474560. Its totient is φ = 52517120.

The previous prime is 87145969. The next prime is 87145973. The reversal of 87145971 is 17954178.

It is an interprime number because it is at equal distance from previous prime (87145969) and next prime (87145973).

It is a cyclic number.

It is not a de Polignac number, because 87145971 - 2¹ = 87145969 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 not an unprimeable number, because it can be changed into a prime (87145973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (7967160).

Almost surely, 2^87145971 is an apocalyptic number.

87145971 is a deficient number, since it is larger than the sum of its proper divisors (40328589).

87145971 is a wasteful number, since it uses less digits than its factorization.

87145971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946.

The product of its digits is 70560, while the sum is 42.

The square root of 87145971 is about 9335.2006405861. The cubic root of 87145971 is about 443.3524414977.

The spelling of 87145971 in words is "eighty-seven million, one hundred forty-five thousand, nine hundred seventy-one".