712773 has 8 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 475164.

The previous prime is 712739. The next prime is 712781. The reversal of 712773 is 377217.

It is not a de Polignac number, because 712773 - 2¹⁰ = 711749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 26399 = 712773 / (7 + 1 + 2 + 7 + 7 + 3).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712773.

It is not an unprimeable number, because it can be changed into a prime (712573) 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, 13173 + ... + 13226.

It is an arithmetic number, because the mean of its divisors is an integer number (132000).

2⁷¹²⁷⁷³ is an apocalyptic number.

It is an amenable number.

712773 is a deficient number, since it is larger than the sum of its proper divisors (343227).

712773 is a wasteful number, since it uses less digits than its factorization.

712773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26408 (or 26402 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 712773 is about 844.2588465631. The cubic root of 712773 is about 89.3272052800.

It can be divided in two parts, 712 and 773, that added together give a triangular number (1485 = T₅₄).

The spelling of 712773 in words is "seven hundred twelve thousand, seven hundred seventy-three", and thus it is an iban number.