172085761 has 2 divisors, whose sum is σ = 172085762. Its totient is φ = 172085760.

The previous prime is 172085729. The next prime is 172085777. The reversal of 172085761 is 167580271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159870736 + 12215025 = 12644^2 + 3495^2 .

It is a cyclic number.

It is not a de Polignac number, because 172085761 - 2⁵ = 172085729 is a prime.

It is a super-2 number, since 2×172085761² = 59227018277898242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172085761.

It is not a weakly prime, because it can be changed into another prime (172085161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86042880 + 86042881.

It is an arithmetic number, because the mean of its divisors is an integer number (86042881).

Almost surely, 2^172085761 is an apocalyptic number.

It is an amenable number.

172085761 is a deficient number, since it is larger than the sum of its proper divisors (1).

172085761 is an equidigital number, since it uses as much as digits as its factorization.

172085761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 172085761 is about 13118.1462486130. The cubic root of 172085761 is about 556.2221920029. Note that the first 3 decimals are identical.

The spelling of 172085761 in words is "one hundred seventy-two million, eighty-five thousand, seven hundred sixty-one".