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31996973 is a prime number
BaseRepresentation
bin111101000001…
…1110000101101
32020012121121002
41322003300231
531142400343
63101450045
7535653431
oct172036055
966177532
1031996973
1117074888
12a870925
136823c28
14436c9c1
152c208b8
hex1e83c2d

31996973 has 2 divisors, whose sum is σ = 31996974. Its totient is φ = 31996972.

The previous prime is 31996961. The next prime is 31997023. The reversal of 31996973 is 37969913.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22250089 + 9746884 = 4717^2 + 3122^2 .

It is a cyclic number.

It is not a de Polignac number, because 31996973 - 24 = 31996957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31996073) 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 as a sum of consecutive naturals, namely, 15998486 + 15998487.

It is an arithmetic number, because the mean of its divisors is an integer number (15998487).

Almost surely, 231996973 is an apocalyptic number.

It is an amenable number.

31996973 is a deficient number, since it is larger than the sum of its proper divisors (1).

31996973 is an equidigital number, since it uses as much as digits as its factorization.

31996973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 275562, while the sum is 47.

The square root of 31996973 is about 5656.5866916366. The cubic root of 31996973 is about 317.4701995301.

The spelling of 31996973 in words is "thirty-one million, nine hundred ninety-six thousand, nine hundred seventy-three".