647753401 has 9 divisors (see below), whose sum is σ = 670138959. Its totient is φ = 626094600.

The previous prime is 647753357. The next prime is 647753411. The reversal of 647753401 is 104357746.

The square root of 647753401 is 25451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 176863401 + 470890000 = 13299^2 + 21700^2 .

It is not a de Polignac number, because 647753401 - 2⁷ = 647753273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (647753411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 788571 + ... + 789391.

Almost surely, 2^647753401 is an apocalyptic number.

647753401 is the 25451-st square number.

647753401 is the 12726-th centered octagonal number.

It is an amenable number.

647753401 is a deficient number, since it is larger than the sum of its proper divisors (22385558).

647753401 is an frugal number, since it uses more digits than its factorization.

647753401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The cubic root of 647753401 is about 865.2399574848.

The spelling of 647753401 in words is "six hundred forty-seven million, seven hundred fifty-three thousand, four hundred one".