97590 has 16 divisors (see below), whose sum is σ = 234288. Its totient is φ = 26016.

The previous prime is 97583. The next prime is 97607. The reversal of 97590 is 9579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3253 = 97590 / (9 + 7 + 5 + 9 + 0).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (14643).

2⁹⁷⁵⁹⁰ is an apocalyptic number.

97590 is an abundant number, since it is smaller than the sum of its proper divisors (136698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117144).

97590 is a wasteful number, since it uses less digits than its factorization.

97590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 97590 is about 312.3939820163. The cubic root of 97590 is about 46.0399778482.

The spelling of 97590 in words is "ninety-seven thousand, five hundred ninety".