86461 has 2 divisors, whose sum is σ = 86462. Its totient is φ = 86460.

The previous prime is 86453. The next prime is 86467. The reversal of 86461 is 16468.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 25 = 294^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 86461 - 2³ = 86453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43230 + 43231.

It is an arithmetic number, because the mean of its divisors is an integer number (43231).

2⁸⁶⁴⁶¹ is an apocalyptic number.

86461 is the 132-nd centered decagonal number.

It is an amenable number.

86461 is a deficient number, since it is larger than the sum of its proper divisors (1).

86461 is an equidigital number, since it uses as much as digits as its factorization.

86461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 25.

The square root of 86461 is about 294.0425139329. The cubic root of 86461 is about 44.2187795140.

Subtracting from 86461 its sum of digits (25), we obtain a square (86436 = 294²).

The spelling of 86461 in words is "eighty-six thousand, four hundred sixty-one".