58844241 has 9 divisors (see below), whose sum is σ = 85030491. Its totient is φ = 39214152.

The previous prime is 58844221. The next prime is 58844249. The reversal of 58844241 is 14244885.

The square root of 58844241 is 7671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25250625 + 33593616 = 5025^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 58844241 - 2⁷ = 58844113 is a prime.

Its product of digits (40960) is a multiple of the sum of its prime divisors (2560).

It is a junction number, because it is equal to n+sod(n) for n = 58844196 and 58844205.

It is not an unprimeable number, because it can be changed into a prime (58844249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21735 + ... + 24291.

Almost surely, 2^58844241 is an apocalyptic number.

58844241 is the 7671-st square number.

58844241 is the 3836-th centered octagonal number.

It is an amenable number.

58844241 is a deficient number, since it is larger than the sum of its proper divisors (26186250).

58844241 is an frugal number, since it uses more digits than its factorization.

58844241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 2560 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The cubic root of 58844241 is about 388.9567581895.

Multiplying 58844241 by its sum of digits (36), we get a square (2118392676 = 46026²).

The spelling of 58844241 in words is "fifty-eight million, eight hundred forty-four thousand, two hundred forty-one".