35722873 has 2 divisors, whose sum is σ = 35722874. Its totient is φ = 35722872.

The previous prime is 35722829. The next prime is 35722877. The reversal of 35722873 is 37822753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34539129 + 1183744 = 5877^2 + 1088^2 .

It is an emirp because it is prime and its reverse (37822753) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35722873 - 2⁹ = 35722361 is a prime.

It is a super-3 number, since 3×35722873³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (35722877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17861436 + 17861437.

It is an arithmetic number, because the mean of its divisors is an integer number (17861437).

Almost surely, 2^35722873 is an apocalyptic number.

It is an amenable number.

35722873 is a deficient number, since it is larger than the sum of its proper divisors (1).

35722873 is an equidigital number, since it uses as much as digits as its factorization.

35722873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 35722873 is about 5976.8614673589. The cubic root of 35722873 is about 329.3432699782.

The spelling of 35722873 in words is "thirty-five million, seven hundred twenty-two thousand, eight hundred seventy-three".