34965 has 32 divisors (see below), whose sum is σ = 72960. Its totient is φ = 15552.

The previous prime is 34963. The next prime is 34981. The reversal of 34965 is 56943.

It is a happy number.

It is not a de Polignac number, because 34965 - 2¹ = 34963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

34965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

2³⁴⁹⁶⁵ is an apocalyptic number.

34965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34965 is an abundant number, since it is smaller than the sum of its proper divisors (37995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480).

34965 is a wasteful number, since it uses less digits than its factorization.

34965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 34965 is about 186.9893045070. The cubic root of 34965 is about 32.6997559110.

It can be divided in two parts, 349 and 65, that added together give a palindrome (414).

The spelling of 34965 in words is "thirty-four thousand, nine hundred sixty-five".