1935 has 12 divisors (see below), whose sum is σ = 3432. Its totient is φ = 1008.

The previous prime is 1933. The next prime is 1949. The reversal of 1935 is 5391.

1935 is nontrivially palindromic in base 2 and base 13.

It is a Cunningham number, because it is equal to 44²-1.

It is not a de Polignac number, because 1935 - 2¹ = 1933 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a D-number.

It is one of the 548 Lynch-Bell numbers.

1935 is an undulating number in base 13.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 66.

It is an arithmetic number, because the mean of its divisors is an integer number (286).

1935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1935 is a deficient number, since it is larger than the sum of its proper divisors (1497).

1935 is a wasteful number, since it uses less digits than its factorization.

1935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 1935 is about 43.9886348958. The cubic root of 1935 is about 12.4612131040.

Adding to 1935 its sum of digits (18), we get a triangular number (1953 = T₆₂).

The spelling of 1935 in words is "one thousand, nine hundred thirty-five".