4963001 has 2 divisors, whose sum is σ = 4963002. Its totient is φ = 4963000.

The previous prime is 4962989. The next prime is 4963003. The reversal of 4963001 is 1003694.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2637376 + 2325625 = 1624^2 + 1525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4963001 is a prime.

It is a Sophie Germain prime.

Together with 4963003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4963003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2481500 + 2481501.

It is an arithmetic number, because the mean of its divisors is an integer number (2481501).

Almost surely, 2^4963001 is an apocalyptic number.

It is an amenable number.

4963001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4963001 is an equidigital number, since it uses as much as digits as its factorization.

4963001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 4963001 is about 2227.7793876414. The cubic root of 4963001 is about 170.5747673334.

Adding to 4963001 its reverse (1003694), we get a palindrome (5966695).

It can be divided in two parts, 49 and 63001, that multiplied together give a square (3087049 = 1757²).

The spelling of 4963001 in words is "four million, nine hundred sixty-three thousand, one".