820457537 has 2 divisors, whose sum is σ = 820457538. Its totient is φ = 820457536.

The previous prime is 820457527. The next prime is 820457549. The reversal of 820457537 is 735754028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 607326736 + 213130801 = 24644^2 + 14599^2 .

It is a cyclic number.

It is not a de Polignac number, because 820457537 - 2¹⁰ = 820456513 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 820457494 and 820457503.

It is not a weakly prime, because it can be changed into another prime (820457527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410228768 + 410228769.

It is an arithmetic number, because the mean of its divisors is an integer number (410228769).

Almost surely, 2^820457537 is an apocalyptic number.

It is an amenable number.

820457537 is a deficient number, since it is larger than the sum of its proper divisors (1).

820457537 is an equidigital number, since it uses as much as digits as its factorization.

820457537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 820457537 is about 28643.6299550179. The cubic root of 820457537 is about 936.1642153650.

The spelling of 820457537 in words is "eight hundred twenty million, four hundred fifty-seven thousand, five hundred thirty-seven".