972162007 has 2 divisors, whose sum is σ = 972162008. Its totient is φ = 972162006.

The previous prime is 972161963. The next prime is 972162019. The reversal of 972162007 is 700261279.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 972162007 - 2¹¹ = 972159959 is a prime.

It is equal to p_49503346 and since 972162007 and 49503346 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972169007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486081003 + 486081004.

It is an arithmetic number, because the mean of its divisors is an integer number (486081004).

Almost surely, 2^972162007 is an apocalyptic number.

972162007 is the 18002-nd hex number.

972162007 is a deficient number, since it is larger than the sum of its proper divisors (1).

972162007 is an equidigital number, since it uses as much as digits as its factorization.

972162007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 972162007 is about 31179.5126164602. The cubic root of 972162007 is about 990.6332061098.

The spelling of 972162007 in words is "nine hundred seventy-two million, one hundred sixty-two thousand, seven".