349777 has 4 divisors (see below), whose sum is σ = 351396. Its totient is φ = 348160.

The previous prime is 349759. The next prime is 349787. The reversal of 349777 is 777943.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 777943 = 191 ⋅4073.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 123201 = 476^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 349777 - 2¹¹ = 347729 is a prime.

It is a Duffinian number.

349777 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (349717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (87849).

2³⁴⁹⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

349777 is a deficient number, since it is larger than the sum of its proper divisors (1619).

349777 is a wasteful number, since it uses less digits than its factorization.

349777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618.

The product of its digits is 37044, while the sum is 37.

The square root of 349777 is about 591.4194788811. The cubic root of 349777 is about 70.4580170206.

It can be divided in two parts, 3 and 49777, that multiplied together give a triangular number (149331 = T₅₄₆).

The spelling of 349777 in words is "three hundred forty-nine thousand, seven hundred seventy-seven".