71973131 has 2 divisors, whose sum is σ = 71973132. Its totient is φ = 71973130.

The previous prime is 71973119. The next prime is 71973133. The reversal of 71973131 is 13137917.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 71973131 - 2¹⁰ = 71972107 is a prime.

It is a super-2 number, since 2×71973131² = 10360263171886322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 71973133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71973133) 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 as a sum of consecutive naturals, namely, 35986565 + 35986566.

It is an arithmetic number, because the mean of its divisors is an integer number (35986566).

Almost surely, 2^71973131 is an apocalyptic number.

71973131 is a deficient number, since it is larger than the sum of its proper divisors (1).

71973131 is an equidigital number, since it uses as much as digits as its factorization.

71973131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3969, while the sum is 32.

The square root of 71973131 is about 8483.6979554909. The cubic root of 71973131 is about 415.9650083826.

The spelling of 71973131 in words is "seventy-one million, nine hundred seventy-three thousand, one hundred thirty-one".