35825 has 6 divisors (see below), whose sum is σ = 44454. Its totient is φ = 28640.

The previous prime is 35809. The next prime is 35831. The reversal of 35825 is 52853.

35825 = T₁₀ + T₁₁ + ... + T₅₉.

It can be written as a sum of positive squares in 3 ways, for example, as 6241 + 29584 = 79^2 + 172^2 .

It is not a de Polignac number, because 35825 - 2⁴ = 35809 is a prime.

It is a super-5 number, since 5×35825⁵ (a number of 24 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35825.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (7409).

2³⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

35825 is a deficient number, since it is larger than the sum of its proper divisors (8629).

35825 is a wasteful number, since it uses less digits than its factorization.

35825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1438 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 35825 is about 189.2749323075. The cubic root of 35825 is about 32.9656821079.

It can be divided in two parts, 358 and 25, that added together give a palindrome (383).

The spelling of 35825 in words is "thirty-five thousand, eight hundred twenty-five".