67538 has 4 divisors (see below), whose sum is σ = 101310. Its totient is φ = 33768.

The previous prime is 67537. The next prime is 67547. The reversal of 67538 is 83576.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 20449 = 217^2 + 143^2 .

It is a super-2 number, since 2×67538² = 9122762888, which contains 22 as substring.

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 67538.

It is not an unprimeable number, because it can be changed into a prime (67531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16883 + ... + 16886.

2⁶⁷⁵³⁸ is an apocalyptic number.

67538 is a deficient number, since it is larger than the sum of its proper divisors (33772).

67538 is a wasteful number, since it uses less digits than its factorization.

67538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771.

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

The square root of 67538 is about 259.8807418798. The cubic root of 67538 is about 40.7239033985.

It can be divided in two parts, 67 and 538, that multiplied together give a triangular number (36046 = T₂₆₈).

The spelling of 67538 in words is "sixty-seven thousand, five hundred thirty-eight".