87985693 has 16 divisors (see below), whose sum is σ = 94938480. Its totient is φ = 81248256.

The previous prime is 87985691. The next prime is 87985717. The reversal of 87985693 is 39658978.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4318084 + 83667609 = 2078^2 + 9147^2 .

It is a cyclic number.

It is not a de Polignac number, because 87985693 - 2¹ = 87985691 is a prime.

It is a Duffinian number.

Its product of digits (3265920) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87985691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377505 + ... + 377737.

It is an arithmetic number, because the mean of its divisors is an integer number (5933655).

Almost surely, 2^87985693 is an apocalyptic number.

It is an amenable number.

87985693 is a deficient number, since it is larger than the sum of its proper divisors (6952787).

87985693 is a wasteful number, since it uses less digits than its factorization.

87985693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 3265920, while the sum is 55.

The square root of 87985693 is about 9380.0689229877. The cubic root of 87985693 is about 444.7719118959.

The spelling of 87985693 in words is "eighty-seven million, nine hundred eighty-five thousand, six hundred ninety-three".