11971000 has 32 divisors (see below), whose sum is σ = 28014480. Its totient is φ = 4788000.

The previous prime is 11970967. The next prime is 11971013. The reversal of 11971000 is 17911.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4986 + ... + 6985.

Almost surely, 2^11971000 is an apocalyptic number.

11971000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11971000 is an abundant number, since it is smaller than the sum of its proper divisors (16043480).

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

11971000 is a wasteful number, since it uses less digits than its factorization.

11971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 19.

The square root of 11971000 is about 3459.9132937113. The cubic root of 11971000 is about 228.7582735618.

Adding to 11971000 its reverse (17911), we get a palindrome (11988911).

It can be divided in two parts, 1197 and 1000, that added together give a cube (2197 = 13³).

The spelling of 11971000 in words is "eleven million, nine hundred seventy-one thousand".