89261 has 2 divisors, whose sum is σ = 89262. Its totient is φ = 89260.

The previous prime is 89237. The next prime is 89269. The reversal of 89261 is 16298.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 16900 = 269^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 89261 - 2¹⁰ = 88237 is a prime.

It is a super-2 number, since 2×89261² = 15935052242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 89261.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89261.

It is not a weakly prime, because it can be changed into another prime (89269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44630 + 44631.

It is an arithmetic number, because the mean of its divisors is an integer number (44631).

2⁸⁹²⁶¹ is an apocalyptic number.

It is an amenable number.

89261 is a deficient number, since it is larger than the sum of its proper divisors (1).

89261 is an equidigital number, since it uses as much as digits as its factorization.

89261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 26.

The square root of 89261 is about 298.7657945616. The cubic root of 89261 is about 44.6910524993.

It can be divided in two parts, 8 and 9261, that multiplied together give a cube (74088 = 42³).

The spelling of 89261 in words is "eighty-nine thousand, two hundred sixty-one".