86753101 has 2 divisors, whose sum is σ = 86753102. Its totient is φ = 86753100.

The previous prime is 86753083. The next prime is 86753111. The reversal of 86753101 is 10135768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47251876 + 39501225 = 6874^2 + 6285^2 .

It is a cyclic number.

It is not a de Polignac number, because 86753101 - 2²⁵ = 53198669 is a prime.

It is a super-2 number, since 2×86753101² = 15052201066232402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86753111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43376550 + 43376551.

It is an arithmetic number, because the mean of its divisors is an integer number (43376551).

Almost surely, 2^86753101 is an apocalyptic number.

It is an amenable number.

86753101 is a deficient number, since it is larger than the sum of its proper divisors (1).

86753101 is an equidigital number, since it uses as much as digits as its factorization.

86753101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 86753101 is about 9314.1344740131. The cubic root of 86753101 is about 442.6851998030.

Adding to 86753101 its reverse (10135768), we get a palindrome (96888869).

The spelling of 86753101 in words is "eighty-six million, seven hundred fifty-three thousand, one hundred one".