712071001 has 2 divisors, whose sum is σ = 712071002. Its totient is φ = 712071000.

The previous prime is 712070987. The next prime is 712071011. The reversal of 712071001 is 100170217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 688800025 + 23270976 = 26245^2 + 4824^2 .

It is a cyclic number.

It is not a de Polignac number, because 712071001 - 2¹⁵ = 712038233 is a prime.

It is a super-2 number, since 2×712071001² = 1014090220930284002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 712071001.

It is not a weakly prime, because it can be changed into another prime (712071011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356035500 + 356035501.

It is an arithmetic number, because the mean of its divisors is an integer number (356035501).

Almost surely, 2^712071001 is an apocalyptic number.

It is an amenable number.

712071001 is a deficient number, since it is larger than the sum of its proper divisors (1).

712071001 is an equidigital number, since it uses as much as digits as its factorization.

712071001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 712071001 is about 26684.6585325726. The cubic root of 712071001 is about 892.9786999062.

The spelling of 712071001 in words is "seven hundred twelve million, seventy-one thousand, one".