35574 has 36 divisors (see below), whose sum is σ = 90972. Its totient is φ = 9240.

The previous prime is 35573. The next prime is 35591. The reversal of 35574 is 47553.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35573) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3229 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

2³⁵⁵⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45486).

35574 is an abundant number, since it is smaller than the sum of its proper divisors (55398).

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

35574 is a wasteful number, since it uses less digits than its factorization.

35574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 35574 is about 188.6107101943. The cubic root of 35574 is about 32.8885126638. Note that the first 3 decimals are identical.

Multiplying 35574 by its sum of digits (24), we get a square (853776 = 924²).

The spelling of 35574 in words is "thirty-five thousand, five hundred seventy-four".