89813529 has 39 divisors (see below), whose sum is σ = 145880463. Its totient is φ = 55269864.

The previous prime is 89813527. The next prime is 89813531. The reversal of 89813529 is 92531898.

It is a happy number.

The square root of 89813529 is 9477.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (89813527) and next prime (89813531).

It can be written as a sum of positive squares in only one way, i.e., 13286025 + 76527504 = 3645^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (39).

It is not a de Polignac number, because 89813529 - 2¹ = 89813527 is a prime.

Its product of digits (155520) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (89813527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 6908727 + ... + 6908739.

Almost surely, 2^89813529 is an apocalyptic number.

89813529 is the 9477-th square number.

89813529 is the 4739-th centered octagonal number.

It is an amenable number.

89813529 is a deficient number, since it is larger than the sum of its proper divisors (56066934).

89813529 is an frugal number, since it uses more digits than its factorization.

89813529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The cubic root of 89813529 is about 447.8307599080.

The spelling of 89813529 in words is "eighty-nine million, eight hundred thirteen thousand, five hundred twenty-nine".