97409 has 8 divisors (see below), whose sum is σ = 107520. Its totient is φ = 87696.

The previous prime is 97397. The next prime is 97423. The reversal of 97409 is 90479.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97409 - 2¹⁶ = 31873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97409.

It is not an unprimeable number, because it can be changed into a prime (97429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁹⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

97409 is a deficient number, since it is larger than the sum of its proper divisors (10111).

97409 is a wasteful number, since it uses less digits than its factorization.

97409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 97409 is about 312.1041492835. The cubic root of 97409 is about 46.0114968113.

The spelling of 97409 in words is "ninety-seven thousand, four hundred nine".