86801331 has 16 divisors (see below), whose sum is σ = 118033920. Its totient is φ = 56724000.

The previous prime is 86801279. The next prime is 86801357. The reversal of 86801331 is 13310868.

It is not a de Polignac number, because 86801331 - 2¹⁴ = 86784947 is a prime.

It is a super-2 number, since 2×86801331² = 15068942126743122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86801131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115206 + ... + 115956.

It is an arithmetic number, because the mean of its divisors is an integer number (7377120).

Almost surely, 2^86801331 is an apocalyptic number.

86801331 is a deficient number, since it is larger than the sum of its proper divisors (31232589).

86801331 is a wasteful number, since it uses less digits than its factorization.

86801331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 86801331 is about 9316.7231900492. The cubic root of 86801331 is about 442.7672208933.

It can be divided in two parts, 8680 and 1331, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 86801331 in words is "eighty-six million, eight hundred one thousand, three hundred thirty-one".