78417 has 6 divisors (see below), whose sum is σ = 113282. Its totient is φ = 52272.

The previous prime is 78401. The next prime is 78427. The reversal of 78417 is 71487.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 576 = 279^2 + 24^2 .

It is not a de Polignac number, because 78417 - 2⁴ = 78401 is a prime.

It is a super-2 number, since 2×78417² = 12298451778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78427) 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 5 ways as a sum of consecutive naturals, for example, 4348 + ... + 4365.

2⁷⁸⁴¹⁷ is an apocalyptic number.

It is an amenable number.

78417 is a deficient number, since it is larger than the sum of its proper divisors (34865).

78417 is a wasteful number, since it uses less digits than its factorization.

78417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8716 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 78417 is about 280.0303554974. The cubic root of 78417 is about 42.8025925003.

The spelling of 78417 in words is "seventy-eight thousand, four hundred seventeen".