88309 has 4 divisors (see below), whose sum is σ = 95116. Its totient is φ = 81504.

The previous prime is 88301. The next prime is 88321. The reversal of 88309 is 90388.

88309 = T₁₁₀ + T₁₁₁ + ... + T₁₂₂.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 77284 = 105^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 88309 - 2³ = 88301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3384 + ... + 3409.

It is an arithmetic number, because the mean of its divisors is an integer number (23779).

2⁸⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

88309 is a deficient number, since it is larger than the sum of its proper divisors (6807).

88309 is a wasteful number, since it uses less digits than its factorization.

88309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 88309 is about 297.1683024819. The cubic root of 88309 is about 44.5316023467.

The spelling of 88309 in words is "eighty-eight thousand, three hundred nine".