67401 has 6 divisors (see below), whose sum is σ = 97370. Its totient is φ = 44928.

The previous prime is 67399. The next prime is 67409. The reversal of 67401 is 10476.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 9801 = 240^2 + 99^2 .

It is not a de Polignac number, because 67401 - 2¹ = 67399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3736 + ... + 3753.

2⁶⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

67401 is a deficient number, since it is larger than the sum of its proper divisors (29969).

67401 is a wasteful number, since it uses less digits than its factorization.

67401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67401 is about 259.6170256358. The cubic root of 67401 is about 40.6963487801.

Adding to 67401 its reverse (10476), we get a palindrome (77877).

The spelling of 67401 in words is "sixty-seven thousand, four hundred one".