58002961 has 2 divisors, whose sum is σ = 58002962. Its totient is φ = 58002960.

The previous prime is 58002949. The next prime is 58002977. The reversal of 58002961 is 16920085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42250000 + 15752961 = 6500^2 + 3969^2 .

It is a cyclic number.

It is not a de Polignac number, because 58002961 - 2¹⁵ = 57970193 is a prime.

It is not a weakly prime, because it can be changed into another prime (58002911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29001480 + 29001481.

It is an arithmetic number, because the mean of its divisors is an integer number (29001481).

Almost surely, 2^58002961 is an apocalyptic number.

It is an amenable number.

58002961 is a deficient number, since it is larger than the sum of its proper divisors (1).

58002961 is an equidigital number, since it uses as much as digits as its factorization.

58002961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 58002961 is about 7615.9675025567. The cubic root of 58002961 is about 387.0942511149.

The spelling of 58002961 in words is "fifty-eight million, two thousand, nine hundred sixty-one".