905971 has 4 divisors (see below), whose sum is σ = 988344. Its totient is φ = 823600.

The previous prime is 905963. The next prime is 905999. The reversal of 905971 is 179509.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 179509 = 11 ⋅16319.

It is a cyclic number.

It is not a de Polignac number, because 905971 - 2³ = 905963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (905951) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41170 + ... + 41191.

It is an arithmetic number, because the mean of its divisors is an integer number (247086).

2⁹⁰⁵⁹⁷¹ is an apocalyptic number.

905971 is a deficient number, since it is larger than the sum of its proper divisors (82373).

905971 is a wasteful number, since it uses less digits than its factorization.

905971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82372.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 905971 is about 951.8250889738. The cubic root of 905971 is about 96.7619841957.

The spelling of 905971 in words is "nine hundred five thousand, nine hundred seventy-one".