971413 has 16 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 846720.

The previous prime is 971401. The next prime is 971419. The reversal of 971413 is 314179.

It is a cyclic number.

It is not a de Polignac number, because 971413 - 2⁵ = 971381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22570 + ... + 22612.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2⁹⁷¹⁴¹³ is an apocalyptic number.

It is an amenable number.

971413 is a deficient number, since it is larger than the sum of its proper divisors (137387).

971413 is a wasteful number, since it uses less digits than its factorization.

971413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 756, while the sum is 25.

The square root of 971413 is about 985.6028611971. The cubic root of 971413 is about 99.0378728002.

The spelling of 971413 in words is "nine hundred seventy-one thousand, four hundred thirteen".