83574 has 12 divisors (see below), whose sum is σ = 181116. Its totient is φ = 27852.

The previous prime is 83563. The next prime is 83579. The reversal of 83574 is 47538.

It is a super-2 number, since 2×83574² = 13969226952, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83579) by changing a digit.

83574 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 5 ways as a sum of consecutive naturals, for example, 2304 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (15093).

2⁸³⁵⁷⁴ is an apocalyptic number.

83574 is an abundant number, since it is smaller than the sum of its proper divisors (97542).

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

83574 is a wasteful number, since it uses less digits than its factorization.

83574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4648 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 83574 is about 289.0916809595. The cubic root of 83574 is about 43.7210311628.

It can be divided in two parts, 835 and 74, that added together give a palindrome (909).

The spelling of 83574 in words is "eighty-three thousand, five hundred seventy-four".