74241 has 12 divisors (see below), whose sum is σ = 109668. Its totient is φ = 48384.

The previous prime is 74231. The next prime is 74257. The reversal of 74241 is 14247.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 57600 = 129^2 + 240^2 .

It is not a de Polignac number, because 74241 - 2⁵ = 74209 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (74201) 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, 601 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (9139).

It is a Proth number, since it is equal to 145 ⋅ 2⁹ + 1 and 145 < 2⁹.

2⁷⁴²⁴¹ is an apocalyptic number.

74241 is the 146-th nonagonal number.

It is an amenable number.

74241 is a deficient number, since it is larger than the sum of its proper divisors (35427).

74241 is a wasteful number, since it uses less digits than its factorization.

74241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 74241 is about 272.4720169118. The cubic root of 74241 is about 42.0288916856.

Adding to 74241 its reverse (14247), we get a palindrome (88488).

The spelling of 74241 in words is "seventy-four thousand, two hundred forty-one", and thus it is an iban number.