78553 has 2 divisors, whose sum is σ = 78554. Its totient is φ = 78552.

The previous prime is 78541. The next prime is 78569. The reversal of 78553 is 35587.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 26569 = 228^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 78553 - 2⁹ = 78041 is a prime.

78553 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (78583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39276 + 39277.

It is an arithmetic number, because the mean of its divisors is an integer number (39277).

2⁷⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

78553 is a deficient number, since it is larger than the sum of its proper divisors (1).

78553 is an equidigital number, since it uses as much as digits as its factorization.

78553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 78553 is about 280.2730811191. The cubic root of 78553 is about 42.8273226420.

It can be divided in two parts, 785 and 53, that added together give a palindrome (838).

The spelling of 78553 in words is "seventy-eight thousand, five hundred fifty-three".