365742 has 32 divisors (see below), whose sum is σ = 876960. Its totient is φ = 112320.

The previous prime is 365699. The next prime is 365747. The reversal of 365742 is 247563.

It is a happy number.

365742 is a `hidden beast` number, since 3 + 657 + 4 + 2 = 666.

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

It is a nialpdrome in base 13.

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 365742.

It is not an unprimeable number, because it can be changed into a prime (365747) by changing a digit.

365742 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 15 ways as a sum of consecutive naturals, for example, 442 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2³⁶⁵⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480).

365742 is an abundant number, since it is smaller than the sum of its proper divisors (511218).

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

365742 is a wasteful number, since it uses less digits than its factorization.

365742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

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

The square root of 365742 is about 604.7660704768. The cubic root of 365742 is about 71.5140891922.

It can be divided in two parts, 36 and 5742, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 365742 in words is "three hundred sixty-five thousand, seven hundred forty-two".