89753 has 2 divisors, whose sum is σ = 89754. Its totient is φ = 89752.

The previous prime is 89689. The next prime is 89759. The reversal of 89753 is 35798.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 4489 = 292^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 89753 - 2⁶ = 89689 is a prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89753.

It is not a weakly prime, because it can be changed into another prime (89759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44876 + 44877.

It is an arithmetic number, because the mean of its divisors is an integer number (44877).

2⁸⁹⁷⁵³ is an apocalyptic number.

It is an amenable number.

89753 is a deficient number, since it is larger than the sum of its proper divisors (1).

89753 is an equidigital number, since it uses as much as digits as its factorization.

89753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 32.

The square root of 89753 is about 299.5880504960. The cubic root of 89753 is about 44.7730133495.

The spelling of 89753 in words is "eighty-nine thousand, seven hundred fifty-three".