971313 has 16 divisors (see below), whose sum is σ = 1545216. Its totient is φ = 530640.

The previous prime is 971309. The next prime is 971339. The reversal of 971313 is 313179.

971313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 971313 - 2² = 971309 is a prime.

It is a Curzon number.

971313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (971353) 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, 523 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (96576).

2⁹⁷¹³¹³ is an apocalyptic number.

It is an amenable number.

971313 is a deficient number, since it is larger than the sum of its proper divisors (573903).

971313 is a wasteful number, since it uses less digits than its factorization.

971313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044.

The product of its digits is 567, while the sum is 24.

The square root of 971313 is about 985.5521295193. The cubic root of 971313 is about 99.0344742707.

The spelling of 971313 in words is "nine hundred seventy-one thousand, three hundred thirteen".