258901947 has 8 divisors (see below), whose sum is σ = 383558480. Its totient is φ = 172601280.

The previous prime is 258901943. The next prime is 258901963. The reversal of 258901947 is 749109852.

It is not a de Polignac number, because 258901947 - 2² = 258901943 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258901943) 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 7 ways as a sum of consecutive naturals, for example, 4794454 + ... + 4794507.

It is an arithmetic number, because the mean of its divisors is an integer number (47944810).

Almost surely, 2^258901947 is an apocalyptic number.

258901947 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

258901947 is a deficient number, since it is larger than the sum of its proper divisors (124656533).

258901947 is an equidigital number, since it uses as much as digits as its factorization.

258901947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588970 (or 9588964 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 258901947 is about 16090.4302925683. The cubic root of 258901947 is about 637.3506584434.

The spelling of 258901947 in words is "two hundred fifty-eight million, nine hundred one thousand, nine hundred forty-seven".