353977 has 8 divisors (see below), whose sum is σ = 387464. Its totient is φ = 321408.

The previous prime is 353963. The next prime is 354001. The reversal of 353977 is 779353.

It can be written as a sum of positive squares in 4 ways, for example, as 22201 + 331776 = 149^2 + 576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 353977 - 2¹¹ = 351929 is a prime.

It is a Duffinian number.

353977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (353917) by changing a digit.

It is a Zeisel number, with parameters (5, 8).

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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (48433).

2³⁵³⁹⁷⁷ is an apocalyptic number.

353977 is the 344-th hex number.

It is an amenable number.

353977 is a deficient number, since it is larger than the sum of its proper divisors (33487).

353977 is a wasteful number, since it uses less digits than its factorization.

353977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 19845, while the sum is 34.

The square root of 353977 is about 594.9596624982. The cubic root of 353977 is about 70.7389074745.

The spelling of 353977 in words is "three hundred fifty-three thousand, nine hundred seventy-seven".