785055137 has 2 divisors, whose sum is σ = 785055138. Its totient is φ = 785055136.

The previous prime is 785055079. The next prime is 785055149. The reversal of 785055137 is 731550587.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 498227041 + 286828096 = 22321^2 + 16936^2 .

It is a cyclic number.

It is not a de Polignac number, because 785055137 - 2¹⁴ = 785038753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 785055094 and 785055103.

It is not a weakly prime, because it can be changed into another prime (785055197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 392527568 + 392527569.

It is an arithmetic number, because the mean of its divisors is an integer number (392527569).

Almost surely, 2^785055137 is an apocalyptic number.

It is an amenable number.

785055137 is a deficient number, since it is larger than the sum of its proper divisors (1).

785055137 is an equidigital number, since it uses as much as digits as its factorization.

785055137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 785055137 is about 28018.8353969254. The cubic root of 785055137 is about 922.5007330042.

The spelling of 785055137 in words is "seven hundred eighty-five million, fifty-five thousand, one hundred thirty-seven".