972913 has 6 divisors (see below), whose sum is σ = 991922. Its totient is φ = 954240.

The previous prime is 972901. The next prime is 972941. The reversal of 972913 is 319279.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 247009 = 852^2 + 497^2 .

It is not a de Polignac number, because 972913 - 2¹³ = 964721 is a prime.

It is a Duffinian number.

972913 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972943) 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 5 ways as a sum of consecutive naturals, for example, 4945 + ... + 5137.

2⁹⁷²⁹¹³ is an apocalyptic number.

It is an amenable number.

972913 is a deficient number, since it is larger than the sum of its proper divisors (19009).

972913 is an equidigital number, since it uses as much as digits as its factorization.

972913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 264 counting only the distinct ones).

The product of its digits is 3402, while the sum is 31.

The square root of 972913 is about 986.3635232509. The cubic root of 972913 is about 99.0888227773.

The spelling of 972913 in words is "nine hundred seventy-two thousand, nine hundred thirteen".