80537 has 2 divisors, whose sum is σ = 80538. Its totient is φ = 80536.

The previous prime is 80527. The next prime is 80557. The reversal of 80537 is 73508.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 13456 = 259^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 80537 - 2⁶ = 80473 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8 + 0 + 5⁷ + 3 + 7⁴ .

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not a weakly prime, because it can be changed into another prime (80527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40268 + 40269.

It is an arithmetic number, because the mean of its divisors is an integer number (40269).

2⁸⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

80537 is a deficient number, since it is larger than the sum of its proper divisors (1).

80537 is an equidigital number, since it uses as much as digits as its factorization.

80537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 80537 is about 283.7904156239. The cubic root of 80537 is about 43.1848898344.

Subtracting from 80537 its product of nonzero digits (840), we obtain a palindrome (79697).

The spelling of 80537 in words is "eighty thousand, five hundred thirty-seven".