345762 has 32 divisors (see below), whose sum is σ = 811200. Its totient is φ = 108864.

The previous prime is 345757. The next prime is 345769. The reversal of 345762 is 267543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345762.

It is not an unprimeable number, because it can be changed into a prime (345769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (25350).

345762 is a Friedman number, since it can be written as (7^3-6)*(4^5+2), using all its digits and the basic arithmetic operations.

2³⁴⁵⁷⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405600).

345762 is an abundant number, since it is smaller than the sum of its proper divisors (465438).

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

345762 is a wasteful number, since it uses less digits than its factorization.

345762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 345762 is about 588.0153059232. The cubic root of 345762 is about 70.1873890708.

The spelling of 345762 in words is "three hundred forty-five thousand, seven hundred sixty-two".