58967041 has 9 divisors (see below), whose sum is σ = 68656899. Its totient is φ = 50497104.

The previous prime is 58967021. The next prime is 58967047. The reversal of 58967041 is 14076985.

The square root of 58967041 is 7679.

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., 16769025 + 42198016 = 4095^2 + 6496^2 .

It is not a de Polignac number, because 58967041 - 2²⁵ = 25412609 is a prime.

It is a super-2 number, since 2×58967041² = 6954223848591362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58966985 and 58967003.

It is not an unprimeable number, because it can be changed into a prime (58967047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53205 + ... + 54301.

Almost surely, 2^58967041 is an apocalyptic number.

58967041 is the 7679-th square number.

58967041 is the 3840-th centered octagonal number.

It is an amenable number.

58967041 is a deficient number, since it is larger than the sum of its proper divisors (9689858).

58967041 is an frugal number, since it uses more digits than its factorization.

58967041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 58967041 is about 389.2271369723.

The spelling of 58967041 in words is "fifty-eight million, nine hundred sixty-seven thousand, forty-one".