78361 has 4 divisors (see below), whose sum is σ = 81792. Its totient is φ = 74932.

The previous prime is 78347. The next prime is 78367. The reversal of 78361 is 16387.

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, and also an emirpimes, since its reverse is a distinct semiprime: 16387 = 7 ⋅2341.

It is a cyclic number.

It is not a de Polignac number, because 78361 - 2⁷ = 78233 is a prime.

It is a super-2 number, since 2×78361² = 12280892642, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78367) 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 3 ways as a sum of consecutive naturals, for example, 1681 + ... + 1726.

It is an arithmetic number, because the mean of its divisors is an integer number (20448).

2⁷⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

78361 is a deficient number, since it is larger than the sum of its proper divisors (3431).

78361 is a wasteful number, since it uses less digits than its factorization.

78361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430.

The product of its digits is 1008, while the sum is 25.

The square root of 78361 is about 279.9303484798. The cubic root of 78361 is about 42.7924011898.

The spelling of 78361 in words is "seventy-eight thousand, three hundred sixty-one".