353586961 has 64 divisors (see below), whose sum is σ = 486936576. Its totient is φ = 248832000.

The previous prime is 353586901. The next prime is 353586967. The reversal of 353586961 is 169685353.

It is a 4-Lehmer number, since φ(353586961) divides (353586961-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 353586961 - 2¹⁷ = 353455889 is a prime.

It is a deceptive number, since it divides R_353586960.

353586961 is a modest number, since divided by 86961 gives 3535 as remainder.

It is not an unprimeable number, because it can be changed into a prime (353586967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3500811 + ... + 3500911.

It is an arithmetic number, because the mean of its divisors is an integer number (7608384).

Almost surely, 2^353586961 is an apocalyptic number.

353586961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

353586961 is a deficient number, since it is larger than the sum of its proper divisors (133349615).

353586961 is a wasteful number, since it uses less digits than its factorization.

353586961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 583200, while the sum is 46.

The square root of 353586961 is about 18803.9081310243. The cubic root of 353586961 is about 707.1291607494.

The spelling of 353586961 in words is "three hundred fifty-three million, five hundred eighty-six thousand, nine hundred sixty-one".