2035729 has 2 divisors, whose sum is σ = 2035730. Its totient is φ = 2035728.

The previous prime is 2035723. The next prime is 2035757. The reversal of 2035729 is 9275302.

It is an a-pointer prime, because the next prime (2035757) can be obtained adding 2035729 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1476225 + 559504 = 1215^2 + 748^2 .

It is a cyclic number.

It is not a de Polignac number, because 2035729 - 2¹³ = 2027537 is a prime.

It is a super-2 number, since 2×2035729² = 8288385122882, which contains 22 as substring.

It is a Chen prime.

2035729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2035697 and 2035706.

It is not a weakly prime, because it can be changed into another prime (2035723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017864 + 1017865.

It is an arithmetic number, because the mean of its divisors is an integer number (1017865).

2^2035729 is an apocalyptic number.

It is an amenable number.

2035729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2035729 is an equidigital number, since it uses as much as digits as its factorization.

2035729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2035729 is about 1426.7897532573. The cubic root of 2035729 is about 126.7379431102.

The spelling of 2035729 in words is "two million, thirty-five thousand, seven hundred twenty-nine".