8400901 has 2 divisors, whose sum is σ = 8400902. Its totient is φ = 8400900.

The previous prime is 8400883. The next prime is 8400919. The reversal of 8400901 is 1090048.

8400901 = 2049² + 2050².

It is a balanced prime because it is at equal distance from previous prime (8400883) and next prime (8400919).

It can be written as a sum of positive squares in only one way, i.e., 4202500 + 4198401 = 2050^2 + 2049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8400901 is a prime.

It is a super-2 number, since 2×8400901² = 141150275223602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8400971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200450 + 4200451.

It is an arithmetic number, because the mean of its divisors is an integer number (4200451).

Almost surely, 2^8400901 is an apocalyptic number.

8400901 is the 2050-th centered square number.

It is an amenable number.

8400901 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400901 is an equidigital number, since it uses as much as digits as its factorization.

8400901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 8400901 is about 2898.4307823372. The cubic root of 8400901 is about 203.2865391437.

Adding to 8400901 its reverse (1090048), we get a palindrome (9490949).

The spelling of 8400901 in words is "eight million, four hundred thousand, nine hundred one".