287072667 has 48 divisors (see below), whose sum is σ = 498580992. Its totient is φ = 161663040.

The previous prime is 287072651. The next prime is 287072707. The reversal of 287072667 is 766270782.

It is a happy number.

It is not a de Polignac number, because 287072667 - 2⁴ = 287072651 is a prime.

It is a super-2 number, since 2×287072667² = 164821432276985778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (287072627) 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 47 ways as a sum of consecutive naturals, for example, 119583 + ... + 121959.

It is an arithmetic number, because the mean of its divisors is an integer number (10387104).

Almost surely, 2^287072667 is an apocalyptic number.

287072667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

287072667 is a deficient number, since it is larger than the sum of its proper divisors (211508325).

287072667 is an equidigital number, since it uses as much as digits as its factorization.

287072667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 287072667 is about 16943.2189090503. The cubic root of 287072667 is about 659.6758945870.

The spelling of 287072667 in words is "two hundred eighty-seven million, seventy-two thousand, six hundred sixty-seven".