58002945 has 64 divisors (see below), whose sum is σ = 124637184. Its totient is φ = 22245120.

The previous prime is 58002937. The next prime is 58002947. The reversal of 58002945 is 54920085.

It is not a de Polignac number, because 58002945 - 2³ = 58002937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (58002947) 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 63 ways as a sum of consecutive naturals, for example, 13084 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (1947456).

Almost surely, 2^58002945 is an apocalyptic number.

58002945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58002945 is an abundant number, since it is smaller than the sum of its proper divisors (66634239).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58002945 is a wasteful number, since it uses less digits than its factorization.

58002945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 58002945 is about 7615.9664521320. The cubic root of 58002945 is about 387.0942155218.

The spelling of 58002945 in words is "fifty-eight million, two thousand, nine hundred forty-five".