78597 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 50400.

The previous prime is 78593. The next prime is 78607. The reversal of 78597 is 79587.

It is not a de Polignac number, because 78597 - 2² = 78593 is a prime.

78597 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁷⁸⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

78597 is a deficient number, since it is larger than the sum of its proper divisors (42363).

78597 is a wasteful number, since it uses less digits than its factorization.

78597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 78597 is about 280.3515650037. The cubic root of 78597 is about 42.8353174585.

Subtracting 78597 from its reverse (79587), we obtain a triangular number (990 = T₄₄).

The spelling of 78597 in words is "seventy-eight thousand, five hundred ninety-seven".