829680437 has 2 divisors, whose sum is σ = 829680438. Its totient is φ = 829680436.

The previous prime is 829680431. The next prime is 829680443. The reversal of 829680437 is 734086928.

It is a balanced prime because it is at equal distance from previous prime (829680431) and next prime (829680443).

It can be written as a sum of positive squares in only one way, i.e., 720707716 + 108972721 = 26846^2 + 10439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829680437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829680391 and 829680400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829680431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414840218 + 414840219.

It is an arithmetic number, because the mean of its divisors is an integer number (414840219).

Almost surely, 2^829680437 is an apocalyptic number.

It is an amenable number.

829680437 is a deficient number, since it is larger than the sum of its proper divisors (1).

829680437 is an equidigital number, since it uses as much as digits as its factorization.

829680437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 829680437 is about 28804.1739510093. The cubic root of 829680437 is about 939.6590120531.

The spelling of 829680437 in words is "eight hundred twenty-nine million, six hundred eighty thousand, four hundred thirty-seven".