78249 has 4 divisors (see below), whose sum is σ = 104336. Its totient is φ = 52164.

The previous prime is 78241. The next prime is 78259. The reversal of 78249 is 94287.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 78249 - 2³ = 78241 is a prime.

It is a super-3 number, since 3×78249³ = 1437333815016747, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78241) 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, 13039 + ... + 13044.

It is an arithmetic number, because the mean of its divisors is an integer number (26084).

2⁷⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

78249 is a deficient number, since it is larger than the sum of its proper divisors (26087).

78249 is a wasteful number, since it uses less digits than its factorization.

78249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26086.

The product of its digits is 4032, while the sum is 30.

The square root of 78249 is about 279.7302271833. The cubic root of 78249 is about 42.7720039933.

It can be divided in two parts, 7 and 8249, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 78249 in words is "seventy-eight thousand, two hundred forty-nine".