36442 has 16 divisors (see below), whose sum is σ = 66240. Its totient is φ = 14688.

The previous prime is 36433. The next prime is 36451. The reversal of 36442 is 24463.

36442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36433) and next prime (36451).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

2³⁶⁴⁴² is an apocalyptic number.

36442 is a deficient number, since it is larger than the sum of its proper divisors (29798).

36442 is a wasteful number, since it uses less digits than its factorization.

36442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 576, while the sum is 19.

The square root of 36442 is about 190.8978784586. The cubic root of 36442 is about 33.1538576105.

It can be divided in two parts, 364 and 42, that added together give a triangular number (406 = T₂₈).

The spelling of 36442 in words is "thirty-six thousand, four hundred forty-two".