970305258 has 64 divisors (see below), whose sum is σ = 2171836800. Its totient is φ = 286944000.

The previous prime is 970305251. The next prime is 970305307. The reversal of 970305258 is 852503079.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (970305251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566908 + ... + 568616.

It is an arithmetic number, because the mean of its divisors is an integer number (33934950).

Almost surely, 2^970305258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970305258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085918400).

970305258 is an abundant number, since it is smaller than the sum of its proper divisors (1201531542).

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

970305258 is a wasteful number, since it uses less digits than its factorization.

970305258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 970305258 is about 31149.7232411461. The cubic root of 970305258 is about 990.0021283497.

The spelling of 970305258 in words is "nine hundred seventy million, three hundred five thousand, two hundred fifty-eight".