287970 has 32 divisors (see below), whose sum is σ = 717120. Its totient is φ = 73920.

The previous prime is 287939. The next prime is 287977. The reversal of 287970 is 79782.

287970 = T₄ + T₅ + ... + T₁₁₉.

287970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287970.

It is not an unprimeable number, because it can be changed into a prime (287977) 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, 705 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (22410).

2²⁸⁷⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358560).

287970 is an abundant number, since it is smaller than the sum of its proper divisors (429150).

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

287970 is a wasteful number, since it uses less digits than its factorization.

287970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 287970 is about 536.6283630223. The cubic root of 287970 is about 66.0362518932.

The spelling of 287970 in words is "two hundred eighty-seven thousand, nine hundred seventy".