705768001 has 2 divisors, whose sum is σ = 705768002. Its totient is φ = 705768000.

The previous prime is 705767989. The next prime is 705768029. The reversal of 705768001 is 100867507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 368678401 + 337089600 = 19201^2 + 18360^2 .

It is a cyclic number.

It is not a de Polignac number, because 705768001 - 2⁵ = 705767969 is a prime.

It is not a weakly prime, because it can be changed into another prime (705768061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352884000 + 352884001.

It is an arithmetic number, because the mean of its divisors is an integer number (352884001).

Almost surely, 2^705768001 is an apocalyptic number.

It is an amenable number.

705768001 is a deficient number, since it is larger than the sum of its proper divisors (1).

705768001 is an equidigital number, since it uses as much as digits as its factorization.

705768001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 705768001 is about 26566.2944536870. The cubic root of 705768001 is about 890.3361104791.

It can be divided in two parts, 70576800 and 1, that added together give a square (70576801 = 8401²).

The spelling of 705768001 in words is "seven hundred five million, seven hundred sixty-eight thousand, one".