79537 has 2 divisors, whose sum is σ = 79538. Its totient is φ = 79536.

The previous prime is 79531. The next prime is 79549. The reversal of 79537 is 73597.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78961 + 576 = 281^2 + 24^2 .

It is an emirp because it is prime and its reverse (73597) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 79537 - 2¹¹ = 77489 is a prime.

It is a super-2 number, since 2×79537² = 12652268738, which contains 22 as substring.

It is a Chen prime.

79537 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 79499 and 79508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79537.

It is not a weakly prime, because it can be changed into another prime (79531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39768 + 39769.

It is an arithmetic number, because the mean of its divisors is an integer number (39769).

2⁷⁹⁵³⁷ is an apocalyptic number.

It is an amenable number.

79537 is a deficient number, since it is larger than the sum of its proper divisors (1).

79537 is an equidigital number, since it uses as much as digits as its factorization.

79537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 31.

The square root of 79537 is about 282.0230487035. The cubic root of 79537 is about 43.0054076487.

It can be divided in two parts, 79 and 537, that added together give a palindrome (616).

The spelling of 79537 in words is "seventy-nine thousand, five hundred thirty-seven".