677451241 has 32 divisors (see below), whose sum is σ = 764739360. Its totient is φ = 597196800.

The previous prime is 677451233. The next prime is 677451263. The reversal of 677451241 is 142154776.

677451241 = 18404² + 18405².

It can be written as a sum of positive squares in 16 ways, for example, as 2958400 + 674492841 = 1720^2 + 25971^2 .

It is a 5-Lehmer number, since φ(677451241) divides (677451241-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 677451241 - 2³ = 677451233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 677451241.

It is not an unprimeable number, because it can be changed into a prime (677451221) 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 in 31 ways as a sum of consecutive naturals, for example, 2810881 + ... + 2811121.

It is an arithmetic number, because the mean of its divisors is an integer number (23898105).

It is a Poulet number, since it divides 2^677451240-1.

Almost surely, 2^677451241 is an apocalyptic number.

677451241 is the 18405-th centered square number.

It is an amenable number.

677451241 is a deficient number, since it is larger than the sum of its proper divisors (87288119).

677451241 is a wasteful number, since it uses less digits than its factorization.

677451241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its digits is 47040, while the sum is 37.

The square root of 677451241 is about 26027.8935183007. The cubic root of 677451241 is about 878.2658864235.

It can be divided in two parts, 67745 and 1241, that added together give a palindrome (68986).

The spelling of 677451241 in words is "six hundred seventy-seven million, four hundred fifty-one thousand, two hundred forty-one".