4972001 has 2 divisors, whose sum is σ = 4972002. Its totient is φ = 4972000.

The previous prime is 4971991. The next prime is 4972013. The reversal of 4972001 is 1002794.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3534400 + 1437601 = 1880^2 + 1199^2 .

It is a cyclic number.

It is not a de Polignac number, because 4972001 - 2¹⁸ = 4709857 is a prime.

It is a super-4 number, since 4×4972001⁴ (a number of 28 digits) contains 4444 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4972031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2486000 + 2486001.

It is an arithmetic number, because the mean of its divisors is an integer number (2486001).

Almost surely, 2^4972001 is an apocalyptic number.

It is an amenable number.

4972001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4972001 is an equidigital number, since it uses as much as digits as its factorization.

4972001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 4972001 is about 2229.7984213825. The cubic root of 4972001 is about 170.6778129080.

Adding to 4972001 its reverse (1002794), we get a palindrome (5974795).

The spelling of 4972001 in words is "four million, nine hundred seventy-two thousand, one".