349977 has 8 divisors (see below), whose sum is σ = 477664. Its totient is φ = 227808.

The previous prime is 349967. The next prime is 349981. The reversal of 349977 is 779943.

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

It is not a de Polignac number, because 349977 - 2⁶ = 349913 is a prime.

It is a Duffinian number.

349977 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (59708).

2³⁴⁹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

349977 is a deficient number, since it is larger than the sum of its proper divisors (127687).

349977 is a wasteful number, since it uses less digits than its factorization.

349977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759.

The product of its digits is 47628, while the sum is 39.

The square root of 349977 is about 591.5885394427. The cubic root of 349977 is about 70.4714435928.

It can be divided in two parts, 349 and 977, that added together give a triangular number (1326 = T₅₁).

The spelling of 349977 in words is "three hundred forty-nine thousand, nine hundred seventy-seven".