493767 has 12 divisors (see below), whose sum is σ = 722904. Its totient is φ = 324720.

The previous prime is 493747. The next prime is 493777. The reversal of 493767 is 767394.

It is not a de Polignac number, because 493767 - 2¹¹ = 491719 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (60242).

2⁴⁹³⁷⁶⁷ is an apocalyptic number.

493767 is a deficient number, since it is larger than the sum of its proper divisors (229137).

493767 is a wasteful number, since it uses less digits than its factorization.

493767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 493767 is about 702.6855626808. The cubic root of 493767 is about 79.0388635359.

The spelling of 493767 in words is "four hundred ninety-three thousand, seven hundred sixty-seven".