35557 has 6 divisors (see below), whose sum is σ = 37734. Its totient is φ = 33480.

The previous prime is 35543. The next prime is 35569. The reversal of 35557 is 75553.

It is a happy number.

35557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 961 = 186^2 + 31^2 .

It is not a de Polignac number, because 35557 - 2¹⁵ = 2789 is a prime.

It is a Duffinian number.

35557 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35507) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 943 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (6289).

2³⁵⁵⁵⁷ is an apocalyptic number.

35557 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

35557 is a deficient number, since it is larger than the sum of its proper divisors (2177).

35557 is an equidigital number, since it uses as much as digits as its factorization.

35557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its digits is 2625, while the sum is 25.

The square root of 35557 is about 188.5656384392. The cubic root of 35557 is about 32.8832729400.

The spelling of 35557 in words is "thirty-five thousand, five hundred fifty-seven".