820635741 has 6 divisors (see below), whose sum is σ = 1185362750. Its totient is φ = 547090488.

The previous prime is 820635737. The next prime is 820635799. The reversal of 820635741 is 147536028.

820635741 is a `hidden beast` number, since 8 + 20 + 63 + 574 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 655616025 + 165019716 = 25605^2 + 12846^2 .

It is not a de Polignac number, because 820635741 - 2² = 820635737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820635696 and 820635705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820635721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45590866 + ... + 45590883.

Almost surely, 2^820635741 is an apocalyptic number.

It is an amenable number.

820635741 is a deficient number, since it is larger than the sum of its proper divisors (364727009).

820635741 is a wasteful number, since it uses less digits than its factorization.

820635741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91181755 (or 91181752 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 820635741 is about 28646.7404952117. The cubic root of 820635741 is about 936.2319889845.

The spelling of 820635741 in words is "eight hundred twenty million, six hundred thirty-five thousand, seven hundred forty-one".