287525 has 24 divisors (see below), whose sum is σ = 428544. Its totient is φ = 187200.

The previous prime is 287503. The next prime is 287537. The reversal of 287525 is 525782.

287525 = T₁₄ + T₁₅ + ... + T₁₁₉.

287525 = 95² + 96² + ... + 119².

It is not a de Polignac number, because 287525 - 2⁸ = 287269 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 287525.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5399 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2²⁸⁷⁵²⁵ is an apocalyptic number.

287525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287525 is a deficient number, since it is larger than the sum of its proper divisors (141019).

287525 is a wasteful number, since it uses less digits than its factorization.

287525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 287525 is about 536.2135768516. The cubic root of 287525 is about 66.0022190867.

Subtracting from 287525 its sum of digits (29), we obtain a cube (287496 = 66³).

The spelling of 287525 in words is "two hundred eighty-seven thousand, five hundred twenty-five".