287936 has 28 divisors (see below), whose sum is σ = 624840. Its totient is φ = 130560.

The previous prime is 287933. The next prime is 287939. The reversal of 287936 is 639782.

287936 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (287933) and next prime (287939).

Its product of digits (18144) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 287896 and 287905.

It is not an unprimeable number, because it can be changed into a prime (287933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500 + ... + 908.

2²⁸⁷⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312420).

287936 is an abundant number, since it is smaller than the sum of its proper divisors (336904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287936 is a wasteful number, since it uses less digits than its factorization.

287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 287936 is about 536.5966828075. The cubic root of 287936 is about 66.0336528714.

The spelling of 287936 in words is "two hundred eighty-seven thousand, nine hundred thirty-six".