31072001 has 2 divisors, whose sum is σ = 31072002. Its totient is φ = 31072000.

The previous prime is 31071991. The next prime is 31072003. The reversal of 31072001 is 10027013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22800625 + 8271376 = 4775^2 + 2876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31072001 is a prime.

It is a super-2 number, since 2×31072001² = 1930938492288002, which contains 22 as substring.

Together with 31072003, 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 (31072003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15536000 + 15536001.

It is an arithmetic number, because the mean of its divisors is an integer number (15536001).

Almost surely, 2^31072001 is an apocalyptic number.

It is an amenable number.

31072001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31072001 is an equidigital number, since it uses as much as digits as its factorization.

31072001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 31072001 is about 5574.2264934249. The cubic root of 31072001 is about 314.3810842310.

Adding to 31072001 its reverse (10027013), we get a palindrome (41099014).

The spelling of 31072001 in words is "thirty-one million, seventy-two thousand, one".