87967201 has 12 divisors (see below), whose sum is σ = 102624852. Its totient is φ = 75182688.

The previous prime is 87967199. The next prime is 87967219. The reversal of 87967201 is 10276978.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 30813601 = 7560^2 + 5551^2 .

It is not a de Polignac number, because 87967201 - 2¹ = 87967199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87967291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15871 + ... + 20683.

It is an arithmetic number, because the mean of its divisors is an integer number (8552071).

Almost surely, 2^87967201 is an apocalyptic number.

It is an amenable number.

87967201 is a deficient number, since it is larger than the sum of its proper divisors (14657651).

87967201 is a wasteful number, since it uses less digits than its factorization.

87967201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 87967201 is about 9379.0831641478. The cubic root of 87967201 is about 444.7407503962.

The spelling of 87967201 in words is "eighty-seven million, nine hundred sixty-seven thousand, two hundred one".