78541 has 2 divisors, whose sum is σ = 78542. Its totient is φ = 78540.

The previous prime is 78539. The next prime is 78553. The reversal of 78541 is 14587.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 2916 = 275^2 + 54^2 .

It is a cyclic number.

It is not a de Polignac number, because 78541 - 2¹ = 78539 is a prime.

Together with 78539, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 7³ + 8 + 5⁷ + 4³ + 1 .

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39270 + 39271.

It is an arithmetic number, because the mean of its divisors is an integer number (39271).

2⁷⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

78541 is a deficient number, since it is larger than the sum of its proper divisors (1).

78541 is an equidigital number, since it uses as much as digits as its factorization.

78541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 78541 is about 280.2516726087. The cubic root of 78541 is about 42.8251417194.

Subtracting from 78541 its product of digits (1120), we obtain a triangular number (77421 = T₃₉₃).

The spelling of 78541 in words is "seventy-eight thousand, five hundred forty-one".