287681625 has 224 divisors, whose sum is σ = 687488256. Its totient is φ = 116640000.

The previous prime is 287681587. The next prime is 287681627. The reversal of 287681625 is 526186782.

It is not a de Polignac number, because 287681625 - 2⁹ = 287681113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287681627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7016605 + ... + 7016645.

It is an arithmetic number, because the mean of its divisors is an integer number (3069144).

Almost surely, 2^287681625 is an apocalyptic number.

287681625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

287681625 is an abundant number, since it is smaller than the sum of its proper divisors (399806631).

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

287681625 is an equidigital number, since it uses as much as digits as its factorization.

287681625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 287681625 is about 16961.1799412659. The cubic root of 287681625 is about 660.1420148944.

The spelling of 287681625 in words is "two hundred eighty-seven million, six hundred eighty-one thousand, six hundred twenty-five".