345712 has 40 divisors (see below), whose sum is σ = 749952. Its totient is φ = 153600.

The previous prime is 345707. The next prime is 345727. The reversal of 345712 is 217543.

345712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

345712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8412 + ... + 8452.

2³⁴⁵⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

345712 is an abundant number, since it is smaller than the sum of its proper divisors (404240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345712 is a wasteful number, since it uses less digits than its factorization.

345712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 345712 is about 587.9727884860. The cubic root of 345712 is about 70.1840056851.

The spelling of 345712 in words is "three hundred forty-five thousand, seven hundred twelve".