257961682 has 16 divisors (see below), whose sum is σ = 422462304. Its totient is φ = 117160000.

The previous prime is 257961679. The next prime is 257961707. The reversal of 257961682 is 286169752.

257961682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27882 + ... + 35962.

It is an arithmetic number, because the mean of its divisors is an integer number (26403894).

Almost surely, 2^257961682 is an apocalyptic number.

257961682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257961682 is a deficient number, since it is larger than the sum of its proper divisors (164500622).

257961682 is a wasteful number, since it uses less digits than its factorization.

257961682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545.

The product of its digits is 362880, while the sum is 46.

The square root of 257961682 is about 16061.1855726780. The cubic root of 257961682 is about 636.5781581899.

It can be divided in two parts, 2579 and 61682, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 257961682 in words is "two hundred fifty-seven million, nine hundred sixty-one thousand, six hundred eighty-two".