10157729 has 2 divisors, whose sum is σ = 10157730. Its totient is φ = 10157728.

The previous prime is 10157701. The next prime is 10157759. The reversal of 10157729 is 92775101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7102225 + 3055504 = 2665^2 + 1748^2 .

It is a cyclic number.

It is not a de Polignac number, because 10157729 - 2²⁰ = 9109153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10157695 and 10157704.

It is not a weakly prime, because it can be changed into another prime (10157759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5078864 + 5078865.

It is an arithmetic number, because the mean of its divisors is an integer number (5078865).

Almost surely, 2^10157729 is an apocalyptic number.

It is an amenable number.

10157729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157729 is an equidigital number, since it uses as much as digits as its factorization.

10157729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 10157729 is about 3187.1192321593. The cubic root of 10157729 is about 216.5702879697.

The spelling of 10157729 in words is "ten million, one hundred fifty-seven thousand, seven hundred twenty-nine".