75401 has 2 divisors, whose sum is σ = 75402. Its totient is φ = 75400.

The previous prime is 75391. The next prime is 75403. The reversal of 75401 is 10457.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 15376 = 245^2 + 124^2 .

It is an emirp because it is prime and its reverse (10457) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75401 - 2⁶ = 75337 is a prime.

Together with 75403, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75403) 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 as a sum of consecutive naturals, namely, 37700 + 37701.

It is an arithmetic number, because the mean of its divisors is an integer number (37701).

2⁷⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

75401 is a deficient number, since it is larger than the sum of its proper divisors (1).

75401 is an equidigital number, since it uses as much as digits as its factorization.

75401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 75401 is about 274.5924252415. The cubic root of 75401 is about 42.2466589331.

Adding to 75401 its reverse (10457), we get a palindrome (85858).

The spelling of 75401 in words is "seventy-five thousand, four hundred one".