35955 has 24 divisors (see below), whose sum is σ = 67392. Its totient is φ = 17664.

The previous prime is 35951. The next prime is 35963. The reversal of 35955 is 55953.

35955 = T₆ + T₇ + ... + T₅₉.

35955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35955 - 2² = 35951 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3375) is a multiple of the sum of its prime factors (75).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35955.

It is not an unprimeable number, because it can be changed into a prime (35951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2³⁵⁹⁵⁵ is an apocalyptic number.

35955 is a deficient number, since it is larger than the sum of its proper divisors (31437).

35955 is a wasteful number, since it uses less digits than its factorization.

35955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 35955 is about 189.6180371167. The cubic root of 35955 is about 33.0055087222.

It can be divided in two parts, 3595 and 5, that added together give a square (3600 = 60²).

The spelling of 35955 in words is "thirty-five thousand, nine hundred fifty-five".