617472801 has 45 divisors (see below), whose sum is σ = 1017930529. Its totient is φ = 372735000.

The previous prime is 617472799. The next prime is 617472829. The reversal of 617472801 is 108274716.

The square root of 617472801 is 24849.

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

It is not a de Polignac number, because 617472801 - 2¹ = 617472799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (617472841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2459926 + ... + 2460176.

Almost surely, 2^617472801 is an apocalyptic number.

617472801 is the 24849-th square number.

617472801 is the 12425-th centered octagonal number.

It is an amenable number.

617472801 is a deficient number, since it is larger than the sum of its proper divisors (400457728).

617472801 is an equidigital number, since it uses as much as digits as its factorization.

617472801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The cubic root of 617472801 is about 851.5417467261.

Multiplying 617472801 by its sum of digits (36), we get a square (22229020836 = 149094²).

The spelling of 617472801 in words is "six hundred seventeen million, four hundred seventy-two thousand, eight hundred one".