76538 has 24 divisors (see below), whose sum is σ = 147744. Its totient is φ = 29400.

The previous prime is 76537. The next prime is 76541. The reversal of 76538 is 83567.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76538.

It is not an unprimeable number, because it can be changed into a prime (76537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁷⁶⁵³⁸ is an apocalyptic number.

76538 is a deficient number, since it is larger than the sum of its proper divisors (71206).

76538 is a wasteful number, since it uses less digits than its factorization.

76538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 76538 is about 276.6550198352. The cubic root of 76538 is about 42.4579514915.

Adding to 76538 its sum of digits (29), we get a palindrome (76567).

The spelling of 76538 in words is "seventy-six thousand, five hundred thirty-eight".