35732 has 6 divisors (see below), whose sum is σ = 62538. Its totient is φ = 17864.

The previous prime is 35731. The next prime is 35747. The reversal of 35732 is 23753.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 8836 = 164^2 + 94^2 .

It is a plaindrome 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 35732.

It is not an unprimeable number, because it can be changed into a prime (35731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4463 + ... + 4470.

It is an arithmetic number, because the mean of its divisors is an integer number (10423).

2³⁵⁷³² is an apocalyptic number.

It is an amenable number.

35732 is a deficient number, since it is larger than the sum of its proper divisors (26806).

35732 is a wasteful number, since it uses less digits than its factorization.

35732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937 (or 8935 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 35732 is about 189.0290982891. The cubic root of 35732 is about 32.9371316062.

It can be divided in two parts, 35 and 732, that added together give a palindrome (767).

The spelling of 35732 in words is "thirty-five thousand, seven hundred thirty-two".