76537 has 2 divisors, whose sum is σ = 76538. Its totient is φ = 76536.

The previous prime is 76519. The next prime is 76541. The reversal of 76537 is 73567.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 361 = 276^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 76537 - 2¹¹ = 74489 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38268 + 38269.

It is an arithmetic number, because the mean of its divisors is an integer number (38269).

2⁷⁶⁵³⁷ is an apocalyptic number.

It is an amenable number.

76537 is a deficient number, since it is larger than the sum of its proper divisors (1).

76537 is an equidigital number, since it uses as much as digits as its factorization.

76537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4410, while the sum is 28.

The square root of 76537 is about 276.6532125243. The cubic root of 76537 is about 42.4577665806.

Subtracting from 76537 its product of digits (4410), we obtain a palindrome (72127).

The spelling of 76537 in words is "seventy-six thousand, five hundred thirty-seven".