86938201 has 24 divisors (see below), whose sum is σ = 105493320. Its totient is φ = 71350272.

The previous prime is 86938199. The next prime is 86938207. The reversal of 86938201 is 10283968.

It can be written as a sum of positive squares in 4 ways, for example, as 1225 + 86936976 = 35^2 + 9324^2 .

It is not a de Polignac number, because 86938201 - 2¹ = 86938199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86938207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274095 + ... + 274411.

It is an arithmetic number, because the mean of its divisors is an integer number (4395555).

Almost surely, 2^86938201 is an apocalyptic number.

It is an amenable number.

86938201 is a deficient number, since it is larger than the sum of its proper divisors (18555119).

86938201 is a wasteful number, since it uses less digits than its factorization.

86938201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 86938201 is about 9324.0656904593. The cubic root of 86938201 is about 442.9998199565. Note that the first 3 decimals are identical.

The spelling of 86938201 in words is "eighty-six million, nine hundred thirty-eight thousand, two hundred one".