393877 has 8 divisors (see below), whose sum is σ = 437472. Its totient is φ = 351600.

The previous prime is 393871. The next prime is 393901. The reversal of 393877 is 778393.

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 393877 - 2⁷ = 393749 is a prime.

It is a super-2 number, since 2×393877² = 310278182258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2³⁹³⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

393877 is a deficient number, since it is larger than the sum of its proper divisors (43595).

393877 is a wasteful number, since it uses less digits than its factorization.

393877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its digits is 31752, while the sum is 37.

The square root of 393877 is about 627.5962077642. The cubic root of 393877 is about 73.3027397638.

It can be divided in two parts, 39 and 3877, that added together give a triangular number (3916 = T₈₈).

The spelling of 393877 in words is "three hundred ninety-three thousand, eight hundred seventy-seven".