4632577 has 2 divisors, whose sum is σ = 4632578. Its totient is φ = 4632576.

The previous prime is 4632527. The next prime is 4632611. The reversal of 4632577 is 7752364.

It is a happy number.

It is an a-pointer prime, because the next prime (4632611) can be obtained adding 4632577 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4626801 + 5776 = 2151^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 4632577 - 2¹¹ = 4630529 is a prime.

It is not a weakly prime, because it can be changed into another prime (4632527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2316288 + 2316289.

It is an arithmetic number, because the mean of its divisors is an integer number (2316289).

It is a Proth number, since it is equal to 1131 ⋅ 2¹² + 1 and 1131 < 2¹².

Almost surely, 2^4632577 is an apocalyptic number.

It is an amenable number.

4632577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4632577 is an equidigital number, since it uses as much as digits as its factorization.

4632577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 34.

The square root of 4632577 is about 2152.3422125675. The cubic root of 4632577 is about 166.7020276082.

It can be divided in two parts, 46 and 32577, that added together give a palindrome (32623).

The spelling of 4632577 in words is "four million, six hundred thirty-two thousand, five hundred seventy-seven".