87414165 has 24 divisors (see below), whose sum is σ = 155615928. Its totient is φ = 45360000.

The previous prime is 87414161. The next prime is 87414179. The reversal of 87414165 is 56141478.

It is a happy number.

87414165 is a `hidden beast` number, since 87 + 414 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15944049 + 71470116 = 3993^2 + 8454^2 .

It is not a de Polignac number, because 87414165 - 2² = 87414161 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87414161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24586 + ... + 27915.

It is an arithmetic number, because the mean of its divisors is an integer number (6483997).

Almost surely, 2^87414165 is an apocalyptic number.

It is an amenable number.

87414165 is a deficient number, since it is larger than the sum of its proper divisors (68201763).

87414165 is a wasteful number, since it uses less digits than its factorization.

87414165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52549 (or 52546 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87414165 is about 9349.5542674504. The cubic root of 87414165 is about 443.8067853007.

The spelling of 87414165 in words is "eighty-seven million, four hundred fourteen thousand, one hundred sixty-five".