87737 has 8 divisors (see below), whose sum is σ = 100296. Its totient is φ = 76032.

The previous prime is 87721. The next prime is 87739. The reversal of 87737 is 73778.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 72361 = 124^2 + 269^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 87737 - 2⁴ = 87721 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87737.

It is not an unprimeable number, because it can be changed into a prime (87739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (12537).

2⁸⁷⁷³⁷ is an apocalyptic number.

It is an amenable number.

87737 is a deficient number, since it is larger than the sum of its proper divisors (12559).

87737 is a wasteful number, since it uses less digits than its factorization.

87737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427.

The product of its digits is 8232, while the sum is 32.

The square root of 87737 is about 296.2043213729. The cubic root of 87737 is about 44.4352464762.

The spelling of 87737 in words is "eighty-seven thousand, seven hundred thirty-seven".