789457 has 4 divisors (see below), whose sum is σ = 791920. Its totient is φ = 786996.

The previous prime is 789443. The next prime is 789473. The reversal of 789457 is 754987.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 789457 - 2¹⁵ = 756689 is a prime.

It is a Duffinian number.

789457 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (789407) 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, 663 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (197980).

2⁷⁸⁹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

789457 is a deficient number, since it is larger than the sum of its proper divisors (2463).

789457 is a wasteful number, since it uses less digits than its factorization.

789457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462.

The product of its digits is 70560, while the sum is 40.

The square root of 789457 is about 888.5139278593. The cubic root of 789457 is about 92.4221697395.

The spelling of 789457 in words is "seven hundred eighty-nine thousand, four hundred fifty-seven".