2131817967 has 32 divisors (see below), whose sum is σ = 3204273600. Its totient is φ = 1400644224.

The previous prime is 2131817953. The next prime is 2131817971. The reversal of 2131817967 is 7697181312.

It is not a de Polignac number, because 2131817967 - 2⁸ = 2131817711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131817167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577933 + ... + 581609.

It is an arithmetic number, because the mean of its divisors is an integer number (100133550).

Almost surely, 2^2131817967 is an apocalyptic number.

2131817967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2131817967 is a deficient number, since it is larger than the sum of its proper divisors (1072455633).

2131817967 is a wasteful number, since it uses less digits than its factorization.

2131817967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3986 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 2131817967 is about 46171.6142992640. The cubic root of 2131817967 is about 1287.0143010022.

The spelling of 2131817967 in words is "two billion, one hundred thirty-one million, eight hundred seventeen thousand, nine hundred sixty-seven".