271985967 has 24 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 164569680.

The previous prime is 271985957. The next prime is 271985977. The reversal of 271985967 is 769589172.

It is an interprime number because it is at equal distance from previous prime (271985957) and next prime (271985977).

It is not a de Polignac number, because 271985967 - 2⁴ = 271985951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271985957) 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, 70084 + ... + 73862.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^271985967 is an apocalyptic number.

271985967 is a deficient number, since it is larger than the sum of its proper divisors (157301073).

271985967 is a wasteful number, since it uses less digits than its factorization.

271985967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4520 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 271985967 is about 16491.9970591799. The cubic root of 271985967 is about 647.9112175461.

The spelling of 271985967 in words is "two hundred seventy-one million, nine hundred eighty-five thousand, nine hundred sixty-seven".