86761 has 4 divisors (see below), whose sum is σ = 88452. Its totient is φ = 85072.

The previous prime is 86753. The next prime is 86767. The reversal of 86761 is 16768.

86761 = T₂₃₉ + T₂₄₀ + T₂₄₁.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 59536 = 165^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 86761 - 2³ = 86753 is a prime.

It is a super-2 number, since 2×86761² = 15054942242, which contains 22 as substring.

It is a Duffinian number.

86761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (86767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 766 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2⁸⁶⁷⁶¹ is an apocalyptic number.

86761 is the 241-st centered triangular number.

It is an amenable number.

86761 is a deficient number, since it is larger than the sum of its proper divisors (1691).

86761 is a wasteful number, since it uses less digits than its factorization.

86761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690.

The product of its digits is 2016, while the sum is 28.

The square root of 86761 is about 294.5522025041. The cubic root of 86761 is about 44.2698635112.

The spelling of 86761 in words is "eighty-six thousand, seven hundred sixty-one".