7401 has 4 divisors (see below), whose sum is σ = 9872. Its totient is φ = 4932.

The previous prime is 7393. The next prime is 7411. The reversal of 7401 is 1047.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1047 = 3 ⋅349.

It is not a de Polignac number, because 7401 - 2^{3} = 7393 is a prime.

It is a D-number.

It is a Duffinian number.

7401 is a lucky number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (7411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1231 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (2468).

It is an amenable number.

7401 is a deficient number, since it is larger than the sum of its proper divisors (2471).

7401 is a wasteful number, since it uses less digits than its factorization.

7401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7401 is about 86.0290648560. The cubic root of 7401 is about 19.4878293548.

Adding to 7401 its reverse (1047), we get a palindrome (8448).

It can be divided in two parts, 740 and 1, that added together give a triangular number (741 = T_{38}).

The spelling of 7401 in words is "seven thousand, four hundred one", and thus it is an iban number.

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