45968401 has 2 divisors, whose sum is σ = 45968402. Its totient is φ = 45968400.

The previous prime is 45968383. The next prime is 45968413. The reversal of 45968401 is 10486954.

It is a happy number.

45968401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6780²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45968400 + 1 = 6780^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 45968401 - 2⁵ = 45968369 is a prime.

It is a super-2 number, since 2×45968401² = 4226187780993602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45968431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22984200 + 22984201.

It is an arithmetic number, because the mean of its divisors is an integer number (22984201).

Almost surely, 2^45968401 is an apocalyptic number.

It is an amenable number.

45968401 is a deficient number, since it is larger than the sum of its proper divisors (1).

45968401 is an equidigital number, since it uses as much as digits as its factorization.

45968401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45968401 is about 6780.0000737463. Note that the first 4 decimals coincide. The cubic root of 45968401 is about 358.2227243011. Note that the first 3 decimals are identical.

The spelling of 45968401 in words is "forty-five million, nine hundred sixty-eight thousand, four hundred one".