10805971 has 8 divisors (see below), whose sum is σ = 11950704. Its totient is φ = 9688320.

The previous prime is 10805969. The next prime is 10805981. The reversal of 10805971 is 17950801.

10805971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10805971 - 2¹ = 10805969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10805941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5926 + ... + 7531.

It is an arithmetic number, because the mean of its divisors is an integer number (1493838).

Almost surely, 2^10805971 is an apocalyptic number.

10805971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10805971 is a deficient number, since it is larger than the sum of its proper divisors (1144733).

10805971 is a wasteful number, since it uses less digits than its factorization.

10805971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541.

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 10805971 is about 3287.2436782204. The cubic root of 10805971 is about 221.0826182507.

The spelling of 10805971 in words is "ten million, eight hundred five thousand, nine hundred seventy-one".