971905 has 16 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 688000.

The previous prime is 971903. The next prime is 971917. The reversal of 971905 is 509179.

It is not a de Polignac number, because 971905 - 2¹ = 971903 is a prime.

It is an Ulam number.

It is a Duffinian number.

971905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (971903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040 + ... + 2470.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

2⁹⁷¹⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

971905 is a deficient number, since it is larger than the sum of its proper divisors (334463).

971905 is a wasteful number, since it uses less digits than its factorization.

971905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

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

The square root of 971905 is about 985.8524230330. The cubic root of 971905 is about 99.0545901694.

It can be divided in two parts, 97 and 1905, that added together give a palindrome (2002).

The spelling of 971905 in words is "nine hundred seventy-one thousand, nine hundred five".