58284961 has 16 divisors (see below), whose sum is σ = 68342400. Its totient is φ = 49686000.

The previous prime is 58284931. The next prime is 58284971. The reversal of 58284961 is 16948285.

58284961 = T₄₀₃ + T₄₀₄ + ... + T₇₄₅.

It is a happy number.

It is not a de Polignac number, because 58284961 - 2⁷ = 58284833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58284901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85755 + ... + 86431.

It is an arithmetic number, because the mean of its divisors is an integer number (4271400).

Almost surely, 2^58284961 is an apocalyptic number.

It is an amenable number.

58284961 is a deficient number, since it is larger than the sum of its proper divisors (10057439).

58284961 is an equidigital number, since it uses as much as digits as its factorization.

58284961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 58284961 is about 7634.4587889385. The cubic root of 58284961 is about 387.7205648227.

The spelling of 58284961 in words is "fifty-eight million, two hundred eighty-four thousand, nine hundred sixty-one".