286252967 has 24 divisors (see below), whose sum is σ = 387266208. Its totient is φ = 205888320.

The previous prime is 286252961. The next prime is 286253003. The reversal of 286252967 is 769252682.

It is not a de Polignac number, because 286252967 - 2⁸ = 286252711 is a prime.

It is a super-3 number, since 3×286252967³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286252961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988 + ... + 24009.

It is an arithmetic number, because the mean of its divisors is an integer number (16136092).

Almost surely, 2^286252967 is an apocalyptic number.

286252967 is a deficient number, since it is larger than the sum of its proper divisors (101013241).

286252967 is a wasteful number, since it uses less digits than its factorization.

286252967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26039 (or 26028 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 286252967 is about 16919.0119983408. The cubic root of 286252967 is about 659.0474221022.

The spelling of 286252967 in words is "two hundred eighty-six million, two hundred fifty-two thousand, nine hundred sixty-seven".