89513 has 2 divisors, whose sum is σ = 89514. Its totient is φ = 89512.

The previous prime is 89501. The next prime is 89519. The reversal of 89513 is 31598.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 17689 = 268^2 + 133^2 .

It is a cyclic number.

It is not a de Polignac number, because 89513 - 2⁶ = 89449 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (89519) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44756 + 44757.

It is an arithmetic number, because the mean of its divisors is an integer number (44757).

2⁸⁹⁵¹³ is an apocalyptic number.

It is an amenable number.

89513 is a deficient number, since it is larger than the sum of its proper divisors (1).

89513 is an equidigital number, since it uses as much as digits as its factorization.

89513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 26.

The square root of 89513 is about 299.1872323479. The cubic root of 89513 is about 44.7330699667.

The spelling of 89513 in words is "eighty-nine thousand, five hundred thirteen".