785421 has 36 divisors (see below), whose sum is σ = 1431612. Its totient is φ = 411264.

The previous prime is 785413. The next prime is 785423. The reversal of 785421 is 124587.

It can be written as a sum of positive squares in 2 ways, for example, as 275625 + 509796 = 525^2 + 714^2 .

It is not a de Polignac number, because 785421 - 2³ = 785413 is a prime.

It is a super-2 number, since 2×785421² = 1233772294482, which contains 22 as substring.

Its product of digits (2240) is a multiple of the sum of its prime divisors (160).

785421 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5665 + ... + 5801.

It is an arithmetic number, because the mean of its divisors is an integer number (39767).

2⁷⁸⁵⁴²¹ is an apocalyptic number.

It is an amenable number.

785421 is a deficient number, since it is larger than the sum of its proper divisors (646191).

785421 is a wasteful number, since it uses less digits than its factorization.

785421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 785421 is about 886.2398095324. The cubic root of 785421 is about 92.2644016558.

It can be divided in two parts, 7854 and 21, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 785421 in words is "seven hundred eighty-five thousand, four hundred twenty-one".